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672447503172 = 2232359143928697
BaseRepresentation
bin10011100100100001111…
…11101001101101000100
32101021201000121112112110
421302100333221231010
542004133030100142
61232530151421020
766403606316304
oct11622077515504
92337630545473
10672447503172
1123a2020a2a65
12aa3a9384770
134b547183593
1424791d63604
151275a28999c
hex9c90fe9b44

672447503172 has 96 divisors (see below), whose sum is σ = 1666228838400. Its totient is φ = 210615784192.

The previous prime is 672447503137. The next prime is 672447503179. The reversal of 672447503172 is 271305744276.

672447503172 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6724475031723 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (672447503179) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23418328 + ... + 23447024.

It is an arithmetic number, because the mean of its divisors is an integer number (17356550400).

Almost surely, 2672447503172 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 672447503172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833114419200).

672447503172 is an abundant number, since it is smaller than the sum of its proper divisors (993781335228).

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

672447503172 is a wasteful number, since it uses less digits than its factorization.

672447503172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30225 (or 30223 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 672447503172 in words is "six hundred seventy-two billion, four hundred forty-seven million, five hundred three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 177 236 276 354 708 1357 1439 2714 2878 4071 4317 5428 5756 8142 8634 16284 17268 28697 33097 57394 66194 84901 86091 99291 114788 132388 169802 172182 198582 254703 339604 344364 397164 509406 660031 1018812 1320062 1693123 1952723 1980093 2640124 3386246 3905446 3960186 5079369 5858169 6772492 7810892 7920372 10158738 11716338 20317476 23432676 38941829 41294983 77883658 82589966 116825487 123884949 155767316 165179932 233650974 247769898 467301948 495539796 949784609 1899569218 2436403997 2849353827 3799138436 4872807994 5698707654 7309211991 9745615988 11397415308 14618423982 29236847964 56037291931 112074583862 168111875793 224149167724 336223751586 672447503172