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72128012928 = 273424344269
BaseRepresentation
bin100001100101100101…
…0100010001010000000
320220011201120200211020
41003023022202022000
52140204232403203
653045105345440
75132253664656
oct1031312421200
9226151520736
1072128012928
1128653423744
1211b8b638280
136a56292bba
1436c34b4dd6
151d2235d153
hex10cb2a2280

72128012928 has 64 divisors (see below), whose sum is σ = 191639517600. Its totient is φ = 24036461568.

The previous prime is 72128012927. The next prime is 72128012941. The reversal of 72128012928 is 82921082127.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 72128012928.

It is not an unprimeable number, because it can be changed into a prime (72128012927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1607178 + ... + 1651446.

Almost surely, 272128012928 is an apocalyptic number.

It is an amenable number.

72128012928 is an abundant number, since it is smaller than the sum of its proper divisors (119511504672).

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

72128012928 is a wasteful number, since it uses less digits than its factorization.

72128012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48529 (or 48517 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 72128012928 in words is "seventy-two billion, one hundred twenty-eight million, twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 4243 8486 12729 16972 25458 33944 44269 50916 67888 88538 101832 132807 135776 177076 203664 265614 271552 354152 407328 531228 543104 708304 814656 1062456 1416608 1629312 2124912 2833216 4249824 5666432 8499648 16999296 187833367 375666734 563500101 751333468 1127000202 1502666936 2254000404 3005333872 4508000808 6010667744 9016001616 12021335488 18032003232 24042670976 36064006464 72128012928