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1087187400156 = 22311213107538283
BaseRepresentation
bin11111101001000010110…
…10110011010111011100
310211221012221220020221210
433310201122303113130
5120303024433301111
62151240315024420
7141355342266024
oct17644132632734
93757187806853
101087187400156
1138a089a43100
12156854a3b110
137b6a149b850
143a8979a0a84
151d430c1a0a6
hexfd216b35dc

1087187400156 has 144 divisors (see below), whose sum is σ = 3030909259392. Its totient is φ = 301265669760.

The previous prime is 1087187400127. The next prime is 1087187400157. The reversal of 1087187400156 is 6510047817801.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087187400157) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1750591 + ... + 2288873.

It is an arithmetic number, because the mean of its divisors is an integer number (21047980968).

Almost surely, 21087187400156 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 1087187400156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515454629696).

1087187400156 is an abundant number, since it is smaller than the sum of its proper divisors (1943721859236).

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

1087187400156 is a wasteful number, since it uses less digits than its factorization.

1087187400156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538432 (or 538419 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 48.

The spelling of 1087187400156 in words is "one trillion, eighty-seven billion, one hundred eighty-seven million, four hundred thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 107 121 132 143 156 214 242 286 321 363 428 429 484 572 642 726 858 1177 1284 1391 1452 1573 1716 2354 2782 3146 3531 4173 4708 4719 5564 6292 7062 8346 9438 12947 14124 15301 16692 18876 25894 30602 38841 45903 51788 61204 77682 91806 155364 168311 183612 336622 504933 538283 673244 1009866 1076566 1614849 2019732 2153132 3229698 5921113 6459396 6997679 11842226 13995358 17763339 20993037 23684452 27990716 35526678 41986074 57596281 65132243 71053356 76974469 83972148 115192562 130264486 153948938 172788843 195396729 230385124 230923407 260528972 307897876 345577686 390793458 461846814 633559091 691155372 748751653 781586916 846719159 923693628 1267118182 1497503306 1693438318 1900677273 2246254959 2534236364 2540157477 2995006612 3386876636 3801354546 4492509918 5080314954 6969150001 7602709092 8236268183 8985019836 10160629908 13938300002 16472536366 20907450003 24708804549 27876600004 32945072732 41814900006 49417609098 83629800012 90598950013 98835218196 181197900026 271796850039 362395800052 543593700078 1087187400156