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13424679030192 = 243171271053112301
BaseRepresentation
bin1100001101011010110100…
…1110011000110110110000
31202112101102222000112021120
43003112231032120312300
53224422220312431232
644315113514022240
72553621026655633
oct303265516306660
952471388015246
1013424679030192
114306413371811
121609961a17980
13764c3219c4b1
14345a87a9dc1a
151843179a092c
hexc35ad398db0

13424679030192 has 160 divisors (see below), whose sum is σ = 37016106246144. Its totient is φ = 4177764864000.

The previous prime is 13424679030181. The next prime is 13424679030221. The reversal of 13424679030192 is 29103097642431.

13424679030192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 1091342442 + ... + 1091354742.

Almost surely, 213424679030192 is an apocalyptic number.

13424679030192 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 13424679030192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18508053123072).

13424679030192 is an abundant number, since it is smaller than the sum of its proper divisors (23591427215952).

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

13424679030192 is a wasteful number, since it uses less digits than its factorization.

13424679030192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22987 (or 22981 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 13424679030192 in words is "thirteen trillion, four hundred twenty-four billion, six hundred seventy-nine million, thirty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 127 136 204 254 272 381 408 508 762 816 1016 1524 2032 2159 3048 4318 6096 6477 8636 10531 12301 12954 17272 21062 24602 25908 31593 34544 36903 42124 49204 51816 63186 73806 84248 98408 103632 126372 147612 168496 179027 196816 209117 252744 295224 358054 418234 505488 537081 590448 627351 716108 836468 1074162 1254702 1337437 1432216 1562227 1672936 2148324 2509404 2674874 2864432 3124454 3345872 4012311 4296648 4686681 5018808 5349748 6248908 8024622 8593296 9373362 10037616 10699496 12497816 16049244 18746724 21398992 22736429 24995632 26557859 32098488 37493448 45472858 53115718 64196976 68209287 74986896 79673577 90945716 106231436 129541831 136418574 159347154 181891432 212462872 259083662 272837148 318694308 363782864 388625493 424925744 518167324 545674296 637388616 777250986 1036334648 1091348592 1274777232 1554501972 2072669296 2202211127 3109003944 4404422254 6218007888 6606633381 8808844508 13213266762 16451812537 17617689016 26426533524 32903625074 35235378032 49355437611 52853067048 65807250148 98710875222 105706134096 131614500296 197421750444 263229000592 279680813129 394843500888 559361626258 789687001776 839042439387 1118723252516 1678084878774 2237446505032 3356169757548 4474893010064 6712339515096 13424679030192