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129881829988504 = 23112563621138371
BaseRepresentation
bin11101100010000001111000…
…010101101101100010011000
3122000212120201001021201120101
4131202001320111231202120
5114010440441434113004
61140122520004305144
736233436553163506
oct3542017025554230
9560776631251511
10129881829988504
113842563601a600
1212697b760a21b4
135761a5b55a869
142410457cd7676
1510037d00c1ba4
hex76207856d898

129881829988504 has 96 divisors (see below), whose sum is σ = 268205628035520. Its totient is φ = 58921309656000.

The previous prime is 129881829988501. The next prime is 129881829988567. The reversal of 129881829988504 is 405889928188921.

It is a super-2 number, since 2×1298818299885042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129881829988501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3384876439 + ... + 3384914809.

It is an arithmetic number, because the mean of its divisors is an integer number (2793808625370).

Almost surely, 2129881829988504 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 129881829988504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134102814017760).

129881829988504 is an abundant number, since it is smaller than the sum of its proper divisors (138323798047016).

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

129881829988504 is a wasteful number, since it uses less digits than its factorization.

129881829988504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45173 (or 45158 counting only the distinct ones).

The product of its (nonzero) digits is 1911029760, while the sum is 82.

The spelling of 129881829988504 in words is "one hundred twenty-nine trillion, eight hundred eighty-one billion, eight hundred twenty-nine million, nine hundred eighty-eight thousand, five hundred four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 563 968 1126 2252 4504 6193 6211 12386 12422 24772 24844 38371 49544 49688 68123 68321 76742 136246 136642 153484 272492 273284 306968 422081 544984 546568 751531 844162 1503062 1688324 3006124 3376648 3496793 4642891 6012248 6993586 9285782 13987172 18571564 21602873 27974344 37143128 38464723 43205746 76929446 86411492 153858892 172822984 237631603 238322281 307717784 423111953 475263206 476644562 846223906 950526412 953289124 1692447812 1901052824 1906578248 2613947633 2621545091 3384895624 5227895266 5243090182 10455790532 10486180364 20911581064 20972360728 28836996001 57673992002 115347984004 134175444203 230695968008 268350888406 536701776812 1073403553624 1475929886233 2951859772466 5903719544932 11807439089864 16235228748563 32470457497126 64940914994252 129881829988504