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172429382424 = 233136716749393
BaseRepresentation
bin1010000010010110010…
…1111001001100011000
3121111001220022012022010
42200211211321030120
510311113410214144
6211114000025520
715312650365515
oct2404545711430
9544056265263
10172429382424
1167143989142
12295023022a0
131334c35c890
1484ba58430c
154742c775b9
hex2825979318

172429382424 has 128 divisors (see below), whose sum is σ = 473992727040. Its totient is φ = 51949320192.

The previous prime is 172429382339. The next prime is 172429382443. The reversal of 172429382424 is 424283924271.

172429382424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 3466272 + ... + 3515664.

It is an arithmetic number, because the mean of its divisors is an integer number (3703068180).

Almost surely, 2172429382424 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 172429382424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236996363520).

172429382424 is an abundant number, since it is smaller than the sum of its proper divisors (301563344616).

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

172429382424 is a wasteful number, since it uses less digits than its factorization.

172429382424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49649 (or 49645 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 172429382424 in words is "one hundred seventy-two billion, four hundred twenty-nine million, three hundred eighty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 167 201 268 312 334 402 501 536 668 804 871 1002 1336 1608 1742 2004 2171 2613 3484 4008 4342 5226 6513 6968 8684 10452 11189 13026 17368 20904 22378 26052 33567 44756 49393 52104 67134 89512 98786 134268 145457 148179 197572 268536 290914 296358 395144 436371 581828 592716 642109 872742 1163656 1185432 1284218 1745484 1926327 2568436 3309331 3490968 3852654 5136872 6618662 7705308 8248631 9927993 13237324 15410616 16497262 19855986 24745893 26474648 32994524 39711972 43021303 49491786 65989048 79423944 86042606 98983572 107232203 129063909 172085212 197967144 214464406 258127818 321696609 344170424 428928812 516255636 552658277 643393218 857857624 1032511272 1105316554 1286786436 1657974831 2210633108 2573572872 3315949662 4421266216 6631899324 7184557601 13263798648 14369115202 21553672803 28738230404 43107345606 57476460808 86214691212 172429382424