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5362943040 = 2633571319359
BaseRepresentation
bin1001111111010100…
…00000010001000000
3111211202022201211000
410333222000101000
541440403134130
62244054252000
7246620156310
oct47752002100
914752281730
105362943040
112302272534
121058057000
136760c70a0
1438c37b440
15215c4a260
hex13fa80440

5362943040 has 896 divisors, whose sum is σ = 24579072000. Its totient is φ = 1068982272.

The previous prime is 5362943011. The next prime is 5362943071. The reversal of 5362943040 is 403492635.

5362943040 is a `hidden beast` number, since 536 + 2 + 94 + 30 + 4 + 0 = 666.

It is a super-3 number, since 3×53629430403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5362942986 and 5362943004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14938381 + ... + 14938739.

It is an arithmetic number, because the mean of its divisors is an integer number (27432000).

Almost surely, 25362943040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5362943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289536000).

5362943040 is an abundant number, since it is smaller than the sum of its proper divisors (19216128960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5362943040 is a wasteful number, since it uses less digits than its factorization.

5362943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5362943040 is about 73232.1175441486. The cubic root of 5362943040 is about 1750.3882719431.

It can be divided in two parts, 53629 and 43040, that added together give a palindrome (96669).

The spelling of 5362943040 in words is "five billion, three hundred sixty-two million, nine hundred forty-three thousand, forty".