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5214664125 = 3253112831489
BaseRepresentation
bin1001101101101000…
…10111010110111101
3111110102022101101100
410312310113112331
541134423223000
62221240203313
7243136625256
oct46664272675
914412271340
105214664125
1122365a6380
121016469539
1365147b698
143767bdb2d
15207c0aa00
hex136d175bd

5214664125 has 96 divisors (see below), whose sum is σ = 10298021760. Its totient is φ = 2517696000.

The previous prime is 5214664123. The next prime is 5214664127.

5214664125 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 6 + 641 + 2 + 5 = 666.

5214664125 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5214664123) and next prime (5214664127).

It is not a de Polignac number, because 5214664125 - 21 = 5214664123 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5214664125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214664123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3501381 + ... + 3502869.

It is an arithmetic number, because the mean of its divisors is an integer number (107271060).

Almost surely, 25214664125 is an apocalyptic number.

5214664125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5214664125 is a deficient number, since it is larger than the sum of its proper divisors (5083357635).

5214664125 is a wasteful number, since it uses less digits than its factorization.

5214664125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1791 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5214664125 is about 72212.6313396763. The cubic root of 5214664125 is about 1734.1052256319.

The spelling of 5214664125 in words is "five billion, two hundred fourteen million, six hundred sixty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 125 165 225 275 283 375 495 825 849 1125 1375 1415 1489 2475 2547 3113 4125 4245 4467 7075 7445 9339 12375 12735 13401 15565 16379 21225 22335 28017 35375 37225 46695 49137 63675 67005 77825 81895 106125 111675 140085 147411 186125 233475 245685 318375 335025 389125 409475 421387 558375 700425 737055 1167375 1228425 1264161 1675125 2047375 2106935 3502125 3685275 3792483 4635257 6142125 6320805 10534675 13905771 18426375 18962415 23176285 31604025 41717313 52673375 69528855 94812075 115881425 158020125 208586565 347644275 474060375 579407125 1042932825 1738221375 5214664125