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13104958980432 = 24311315003160033
BaseRepresentation
bin1011111010110011110001…
…1011001100000101010000
31201101211012010100011211010
42332230330123030011100
53204202423444333212
643512200211450520
72521542046251654
oct276547433140520
951354163304733
1013104958980432
1141a2866776230
1215779b42b6a40
13740a3b993ab7
143343d790aa64
1517ad53e2403c
hexbeb3c6cc150

13104958980432 has 160 divisors (see below), whose sum is σ = 38131375435776. Its totient is φ = 3842304307200.

The previous prime is 13104958980389. The next prime is 13104958980437. The reversal of 13104958980432 is 23408985940131.

13104958980432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104958980437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81809088 + ... + 81969120.

Almost surely, 213104958980432 is an apocalyptic number.

13104958980432 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 13104958980432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19065687717888).

13104958980432 is an abundant number, since it is smaller than the sum of its proper divisors (25026416455344).

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

13104958980432 is a wasteful number, since it uses less digits than its factorization.

13104958980432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165089 (or 165083 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 13104958980432 in words is "thirteen trillion, one hundred four billion, nine hundred fifty-eight million, nine hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5003 5456 8184 10006 15009 16368 20012 30018 40024 55033 60036 80048 110066 120072 155093 160033 165099 220132 240144 310186 320066 330198 440264 465279 480099 620372 640132 660396 880528 930558 960198 1240744 1280264 1320792 1706023 1760363 1861116 1920396 2481488 2560528 2641584 3412046 3520726 3722232 3840792 4961023 5118069 5281089 6824092 7041452 7444464 7681584 9922046 10236138 10562178 13648184 14082904 14883069 19844092 20472276 21124356 27296368 28165808 29766138 39688184 40944552 42248712 54571253 59532276 79376368 81889104 84497424 109142506 119064552 163713759 218285012 238129104 327427518 436570024 654855036 800645099 873140048 1309710072 1601290198 2401935297 2619420144 3202580396 4803870594 6405160792 8807096089 9607741188 12810321584 17614192178 19215482376 24819998069 26421288267 35228384356 38430964752 49639996138 52842576534 70456768712 74459994207 99279992276 105685153068 140913537424 148919988414 198559984552 211370306136 273019978759 297839976828 397119969104 422740612272 546039957518 595679953656 819059936277 1092079915036 1191359907312 1638119872554 2184159830072 3276239745108 4368319660144 6552479490216 13104958980432