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13429792656 = 243375418209
BaseRepresentation
bin11001000000111101…
…00101111110010000
31021122221112011011000
430200132211332100
5210001011331111
610100343022000
7653542232310
oct144036457620
937587464130
1013429792656
115771849aa5
12272973a900
131360444a97
14915887440
1553904cc56
hex3207a5f90

13429792656 has 160 divisors (see below), whose sum is σ = 44142214400. Its totient is φ = 3829524480.

The previous prime is 13429792619. The next prime is 13429792661. The reversal of 13429792656 is 65629792431.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1631880 + ... + 1640088.

It is an arithmetic number, because the mean of its divisors is an integer number (275888840).

Almost surely, 213429792656 is an apocalyptic number.

13429792656 is a gapful number since it is divisible by the number (16) 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 13429792656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22071107200).

13429792656 is an abundant number, since it is smaller than the sum of its proper divisors (30712421744).

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

13429792656 is a wasteful number, since it uses less digits than its factorization.

13429792656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8774 (or 8762 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 13429792656 in words is "thirteen billion, four hundred twenty-nine million, seven hundred ninety-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 541 756 1008 1082 1512 1623 2164 3024 3246 3787 4328 4869 6492 7574 8209 8656 9738 11361 12984 14607 15148 16418 19476 22722 24627 25968 29214 30296 32836 34083 38952 45444 49254 57463 58428 60592 65672 68166 73881 77904 90888 98508 102249 114926 116856 131344 136332 147762 172389 181776 197016 204498 221643 229852 233712 272664 295524 344778 394032 408996 443286 459704 517167 545328 591048 689556 817992 886572 919408 1034334 1182096 1379112 1551501 1635984 1773144 2068668 2758224 3103002 3546288 4137336 4441069 6206004 8274672 8882138 12412008 13323207 17764276 24824016 26646414 31087483 35528552 39969621 53292828 62174966 71057104 79939242 93262449 106585656 119908863 124349932 159878484 186524898 213171312 239817726 248699864 279787347 319756968 373049796 479635452 497399728 559574694 639513936 746099592 839362041 959270904 1119149388 1492199184 1678724082 1918541808 2238298776 3357448164 4476597552 6714896328 13429792656