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129342744973932 = 2237972251651997
BaseRepresentation
bin11101011010001011110100…
…010111100101001001101100
3121221222001020021201112212120
4131122023310113211021230
5113423122420203131212
61135031123045432540
736146463540154260
oct3532136427451154
9557861207645776
10129342744973932
1138237a4a641176
121260b5a770b750
135722c78a9ca39
1423d2317c440a0
15ee477ce9388c
hex75a2f45e526c

129342744973932 has 144 divisors (see below), whose sum is σ = 349895467369728. Its totient is φ = 36428320512000.

The previous prime is 129342744973919. The next prime is 129342744973999. The reversal of 129342744973932 is 239379447243921.

It is a super-2 number, since 2×1293427449739322 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198053358 + ... + 198705354.

It is an arithmetic number, because the mean of its divisors is an integer number (2429829634512).

Almost surely, 2129342744973932 is an apocalyptic number.

129342744973932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129342744973932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174947733684864).

129342744973932 is an abundant number, since it is smaller than the sum of its proper divisors (220552722395796).

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

129342744973932 is a wasteful number, since it uses less digits than its factorization.

129342744973932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652456 (or 652357 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 69.

The spelling of 129342744973932 in words is "one hundred twenty-nine trillion, three hundred forty-two billion, seven hundred forty-four million, nine hundred seventy-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 251 291 388 502 582 679 753 1004 1164 1358 1506 1757 2037 2716 3012 3514 4074 5271 7028 8148 9409 10542 18818 21084 24347 28227 37636 48694 56454 65863 73041 97388 112908 131726 146082 170429 197589 263452 292164 340858 395178 511287 651997 681716 790356 1022574 1303994 1955991 2045148 2361659 2607988 3911982 4563979 4723318 7084977 7823964 9127958 9446636 13691937 14169954 16531613 18255916 27383874 28339908 33063226 49594839 54767748 63243709 66126452 99189678 126487418 163651247 189731127 198379356 252974836 327302494 379462254 442705963 490953741 654604988 758924508 885411926 981907482 1145558729 1328117889 1770823852 1963814964 2291117458 2656235778 3436676187 4582234916 5312471556 6134639773 6873352374 12269279546 13746704748 15874170959 18403919319 24538559092 31748341918 36807838638 42942478411 47622512877 63496683836 73615677276 85884956822 95245025754 111119196713 128827435233 171769913644 190490051508 222238393426 257654870466 333357590139 444476786852 515309740932 666715180278 1333430360556 1539794583023 3079589166046 4619383749069 6159178332092 9238767498138 10778562081161 18477534996276 21557124162322 32335686243483 43114248324644 64671372486966 129342744973932