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9680742972 = 22331910334567
BaseRepresentation
bin10010000010000010…
…00110101000111100
3220222200000200211000
421001001012220330
5124311232233342
64240335530300
7461616646305
oct110101065074
926880020730
109680742972
11411858852a
121a62089990
13bb38094a4
1467b9b97ac
153b9d4844c
hex241046a3c

9680742972 has 96 divisors (see below), whose sum is σ = 26450547200. Its totient is φ = 3053448576.

The previous prime is 9680742917. The next prime is 9680742983. The reversal of 9680742972 is 2792470869.

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

It is a congruent number.

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, 2117433 + ... + 2121999.

Almost surely, 29680742972 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 9680742972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225273600).

9680742972 is an abundant number, since it is smaller than the sum of its proper divisors (16769804228).

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

9680742972 is a wasteful number, since it uses less digits than its factorization.

9680742972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9680742972 is about 98390.7667009461. The cubic root of 9680742972 is about 2131.2589978012.

The spelling of 9680742972 in words is "nine billion, six hundred eighty million, seven hundred forty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 1033 2052 2066 3099 4132 4567 6198 9134 9297 12396 13701 18268 18594 19627 27402 27891 37188 39254 41103 54804 55782 58881 78508 82206 86773 111564 117762 123309 164412 173546 176643 235524 246618 260319 347092 353286 493236 520638 529929 706572 780957 1041276 1059858 1561914 2119716 2342871 3123828 4685742 4717711 9371484 9435422 14153133 18870844 28306266 42459399 56612532 84918798 89636509 127378197 169837596 179273018 254756394 268909527 358546036 509512788 537819054 806728581 1075638108 1613457162 2420185743 3226914324 4840371486 9680742972