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153411685872 = 243171579291289
BaseRepresentation
bin1000111011100000001…
…1001000110111110000
3112122222112011010001120
42032320003020313300
510003141342421442
6154250520502240
714040453546204
oct2167003106760
9478875133046
10153411685872
115a074996255
122589531a980
131160b3372b3
1475d4920b04
153ecd3944ec
hex23b80c8df0

153411685872 has 160 divisors (see below), whose sum is σ = 423081403200. Its totient is φ = 47734063104.

The previous prime is 153411685853. The next prime is 153411685909. The reversal of 153411685872 is 278586114351.

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

It is a congruent number.

It is an unprimeable number.

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, 119015404 + ... + 119016692.

It is an arithmetic number, because the mean of its divisors is an integer number (2644258770).

Almost surely, 2153411685872 is an apocalyptic number.

153411685872 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 153411685872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211540701600).

153411685872 is an abundant number, since it is smaller than the sum of its proper divisors (269669717328).

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

153411685872 is a wasteful number, since it uses less digits than its factorization.

153411685872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2397 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The spelling of 153411685872 in words is "one hundred fifty-three billion, four hundred eleven million, six hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 157 204 272 314 408 471 628 816 929 942 1256 1289 1858 1884 2512 2578 2669 2787 3716 3768 3867 5156 5338 5574 7432 7536 7734 8007 10312 10676 11148 14864 15468 15793 16014 20624 21352 21913 22296 30936 31586 32028 42704 43826 44592 47379 61872 63172 64056 65739 87652 94758 126344 128112 131478 145853 175304 189516 202373 252688 262956 291706 350608 379032 404746 437559 525912 583412 607119 758064 809492 875118 1051824 1166824 1197481 1214238 1618984 1750236 2333648 2394962 2428476 2479501 3237968 3440341 3500472 3592443 4789924 4856952 4959002 6880682 7000944 7184886 7438503 9579848 9713904 9918004 10321023 13761364 14369772 14877006 19159696 19836008 20357177 20642046 27522728 28739544 29754012 39672016 40714354 41284092 55045456 57479088 59508024 61071531 81428708 82568184 119016048 122143062 162857416 165136368 188004517 244286124 325714832 376009034 488572248 564013551 752018068 977144496 1128027102 1504036136 2256054204 3008072272 3196076789 4512108408 6392153578 9024216816 9588230367 12784307156 19176460734 25568614312 38352921468 51137228624 76705842936 153411685872