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194929125424 = 241131167349613
BaseRepresentation
bin1011010110001010101…
…1100110100000110000
3200122010221112120021221
42311202223212200300
511143203324003144
6225314343354424
720040345141055
oct2654253464060
9618127476257
10194929125424
117573a456070
1231941452a14
13154c68a6987
14961285102c
15510d1bcd84
hex2d62ae6830

194929125424 has 160 divisors (see below), whose sum is σ = 429772492800. Its totient is φ = 84849638400.

The previous prime is 194929125409. The next prime is 194929125427. The reversal of 194929125424 is 424521929491.

It is not an unprimeable number, because it can be changed into a prime (194929125427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317991742 + ... + 317992354.

It is an arithmetic number, because the mean of its divisors is an integer number (2686078080).

Almost surely, 2194929125424 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 194929125424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214886246400).

194929125424 is an abundant number, since it is smaller than the sum of its proper divisors (234843367376).

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

194929125424 is a wasteful number, since it uses less digits than its factorization.

194929125424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The spelling of 194929125424 in words is "one hundred ninety-four billion, nine hundred twenty-nine million, one hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 167 176 248 334 341 349 496 613 668 682 698 1226 1336 1364 1396 1837 2452 2672 2728 2792 3674 3839 4904 5177 5456 5584 6743 7348 7678 9808 10354 10819 13486 14696 15356 19003 20708 21638 26972 29392 30712 38006 41416 43276 53944 56947 58283 61424 76012 82832 86552 102371 107888 113894 116566 119009 152024 173104 204742 209033 213937 227788 233132 238018 304048 409484 418066 427874 455576 466264 476036 641113 818968 836132 855748 911152 932528 952072 1126081 1282226 1637936 1672264 1711496 1806773 1904144 2252162 2353307 2564452 3173501 3344528 3422992 3613546 4504324 4706614 5128904 6347002 6632047 7227092 9008648 9413228 10257808 12694004 13264094 14454184 18017296 18826456 19874503 25388008 26528188 28908368 34908511 35727479 37652912 39749006 50776016 53056376 69817022 71454958 72952517 79498012 106112752 139634044 142909916 145905034 158996024 279268088 285819832 291810068 317992048 393002269 558536176 571639664 583620136 786004538 1107551849 1167240272 1572009076 2215103698 3144018152 4430207396 6288036304 8860414792 12183070339 17720829584 24366140678 48732281356 97464562712 194929125424