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172727552384 = 2729831035443
BaseRepresentation
bin1010000011011101011…
…1010100100110000000
3121111211200100210120222
42200313113110212000
510312221223134014
6211203330522212
715323230653632
oct2406727244600
9544750323528
10172727552384
11672872226a2
1229586136368
13133990696ca
148507ddca52
15475e02408e
hex28375d4980

172727552384 has 128 divisors (see below), whose sum is σ = 363824697600. Its totient is φ = 81566263296.

The previous prime is 172727552383. The next prime is 172727552423. The reversal of 172727552384 is 483255727271.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172727552383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31731167 + ... + 31736609.

It is an arithmetic number, because the mean of its divisors is an integer number (2842380450).

Almost surely, 2172727552384 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 172727552384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181912348800).

172727552384 is an abundant number, since it is smaller than the sum of its proper divisors (191097145216).

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

172727552384 is a wasteful number, since it uses less digits than its factorization.

172727552384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672 (or 5660 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 53.

The spelling of 172727552384 in words is "one hundred seventy-two billion, seven hundred twenty-seven million, five hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 83 103 116 128 166 206 232 332 412 464 664 824 928 1328 1648 1856 2407 2656 2987 3296 3712 4814 5312 5443 5974 6592 8549 9628 10624 10886 11948 13184 17098 19256 21772 23896 34196 38512 43544 47792 68392 77024 87088 95584 136784 154048 157847 174176 191168 247921 273568 308096 315694 348352 382336 451769 495842 547136 560629 631388 696704 903538 991684 1094272 1121258 1262776 1807076 1983368 2242516 2525552 3614152 3966736 4485032 5051104 7228304 7933472 8970064 10102208 13101301 14456608 15866944 16258241 17940128 20204416 26202602 28913216 31733888 32516482 35880256 46532207 52405204 57826432 65032964 71760512 93064414 104810408 130065928 186128828 209620816 260131856 372257656 419241632 520263712 744515312 838483264 1040527424 1349434003 1489030624 1676966528 2081054848 2698868006 2978061248 5397736012 5956122496 10795472024 21590944048 43181888096 86363776192 172727552384