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5153137920 = 283357217179
BaseRepresentation
bin1001100110010011…
…01010010100000000
3111022010112112022000
410303021222110000
541023200403140
62211201344000
7241461643500
oct46311522400
914263475260
105153137920
1122048a2877
12bb9938000
136417b8b48
1436c565a00
15202605a30
hex13326a500

5153137920 has 864 divisors, whose sum is σ = 22649155200. Its totient is φ = 1102381056.

The previous prime is 5153137907. The next prime is 5153137933. The reversal of 5153137920 is 297313515.

5153137920 is a `hidden beast` number, since 5 + 1 + 531 + 37 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5153137907) and next prime (5153137933).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28788391 + ... + 28788569.

It is an arithmetic number, because the mean of its divisors is an integer number (26214300).

Almost surely, 25153137920 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 5153137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11324577600).

5153137920 is an abundant number, since it is smaller than the sum of its proper divisors (17496017280).

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

5153137920 is a wasteful number, since it uses less digits than its factorization.

5153137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5153137920 is about 71785.3600673564. The cubic root of 5153137920 is about 1727.2581692318.

The spelling of 5153137920 in words is "five billion, one hundred fifty-three million, one hundred thirty-seven thousand, nine hundred twenty".