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10890472752 = 243275628283
BaseRepresentation
bin10100010010001111…
…10110110100110000
31001002222100100002200
422021013312310300
5134300430112002
65000352343200
7533606330265
oct121107666460
931088310080
1010890472752
11468942a405
12213b244b00
131047329523
1475451d26c
1543b156b1c
hex2891f6d30

10890472752 has 30 divisors (see below), whose sum is σ = 30478198452. Its totient is φ = 3630157536.

The previous prime is 10890472741. The next prime is 10890472759. The reversal of 10890472752 is 25727409801.

It is a happy number.

10890472752 is a `hidden beast` number, since 108 + 9 + 0 + 472 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10890472698 and 10890472707.

It is not an unprimeable number, because it can be changed into a prime (10890472759) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37813998 + ... + 37814285.

Almost surely, 210890472752 is an apocalyptic number.

10890472752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10890472752 is an abundant number, since it is smaller than the sum of its proper divisors (19587725700).

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

10890472752 is a wasteful number, since it uses less digits than its factorization.

10890472752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75628297 (or 75628288 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10890472752 in words is "ten billion, eight hundred ninety million, four hundred seventy-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 75628283 151256566 226884849 302513132 453769698 605026264 680654547 907539396 1210052528 1361309094 1815078792 2722618188 3630157584 5445236376 10890472752