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1317892896 = 253319431867
BaseRepresentation
bin100111010001101…
…0111001100100000
310101211211220012000
41032203113030200
510144340033041
6334435004000
744441622225
oct11643271440
93354756160
101317892896
11616a09491
12309439600
131800612a8
14c705b94c
157aa76bb6
hex4e8d7320

1317892896 has 192 divisors, whose sum is σ = 4142476800. Its totient is φ = 406280448.

The previous prime is 1317892879. The next prime is 1317892913. The reversal of 1317892896 is 6982987131.

It is an interprime number because it is at equal distance from previous prime (1317892879) and next prime (1317892913).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704955 + ... + 706821.

It is an arithmetic number, because the mean of its divisors is an integer number (21575400).

Almost surely, 21317892896 is an apocalyptic number.

1317892896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317892896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071238400).

1317892896 is an abundant number, since it is smaller than the sum of its proper divisors (2824583904).

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

1317892896 is a wasteful number, since it uses less digits than its factorization.

1317892896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1934 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 1317892896 is about 36302.7946031707. The cubic root of 1317892896 is about 1096.3773098420.

The spelling of 1317892896 in words is "one billion, three hundred seventeen million, eight hundred ninety-two thousand, eight hundred ninety-six".