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13432777364928 = 263891734543897
BaseRepresentation
bin1100001101111000111111…
…1011000101010111000000
31202120011100100110120002010
43003132033323011113000
53230040312001134203
644322533245252520
72554325513454165
oct303361773052700
952504310416063
1013432777364928
1143098996a3539
12160b441b64140
13765922bc213c
1434621544406c
1518463d922303
hexc378fec55c0

13432777364928 has 112 divisors (see below), whose sum is σ = 36147980881440. Its totient is φ = 4401690230784.

The previous prime is 13432777364861. The next prime is 13432777364957. The reversal of 13432777364928 is 82946377723431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684276 + ... + 5228172.

Almost surely, 213432777364928 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 13432777364928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18073990440720).

13432777364928 is an abundant number, since it is smaller than the sum of its proper divisors (22715203516512).

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

13432777364928 is a wasteful number, since it uses less digits than its factorization.

13432777364928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544174 (or 4544164 counting only the distinct ones).

The product of its digits is 256048128, while the sum is 66.

The spelling of 13432777364928 in words is "thirteen trillion, four hundred thirty-two billion, seven hundred seventy-seven million, three hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 173 178 192 267 346 356 519 534 692 712 1038 1068 1384 1424 2076 2136 2768 2848 4152 4272 5536 5696 8304 8544 11072 15397 16608 17088 30794 33216 46191 61588 92382 123176 184764 246352 369528 492704 739056 985408 1478112 2956224 4543897 9087794 13631691 18175588 27263382 36351176 54526764 72702352 109053528 145404704 218107056 290809408 404406833 436214112 786094181 808813666 872428224 1213220499 1572188362 1617627332 2358282543 2426440998 3144376724 3235254664 4716565086 4852881996 6288753448 6470509328 9433130172 9705763992 12577506896 12941018656 18866260344 19411527984 25155013792 25882037312 37732520688 38823055968 50310027584 69962382109 75465041376 77646111936 139924764218 150930082752 209887146327 279849528436 419774292654 559699056872 839548585308 1119398113744 1679097170616 2238796227488 3358194341232 4477592454976 6716388682464 13432777364928