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87214137426 = 234131717314081
BaseRepresentation
bin101000100111001011…
…1100010000001010010
322100010002210020010000
41101032113202001102
52412103304344201
6104022101350430
76205150636143
oct1211627420122
9270102706100
1087214137426
1133a9511a329
1214a9ba08416
1382bb904ba0
144314d17aca
1524069d5d86
hex144e5e2052

87214137426 has 160 divisors (see below), whose sum is σ = 224140715568. Its totient is φ = 25108807680.

The previous prime is 87214137407. The next prime is 87214137431. The reversal of 87214137426 is 62473141278.

87214137426 is a `hidden beast` number, since 8 + 7 + 214 + 1 + 3 + 7 + 426 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73196761401 + 14017376025 = 270549^2 + 118395^2 .

It is a super-2 number, since 2×872141374262 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6186706 + ... + 6200786.

Almost surely, 287214137426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87214137426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112070357784).

87214137426 is an abundant number, since it is smaller than the sum of its proper divisors (136926578142).

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

87214137426 is a wasteful number, since it uses less digits than its factorization.

87214137426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14298 (or 14289 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 87214137426 in words is "eighty-seven billion, two hundred fourteen million, one hundred thirty-seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 173 221 234 306 346 351 442 459 519 663 702 918 1038 1053 1326 1377 1557 1989 2106 2249 2754 2941 3114 3978 4498 4671 5882 5967 6747 8823 9342 11934 13494 14013 14081 17646 17901 20241 26469 28026 28162 35802 38233 40482 42243 52938 60723 76466 79407 84486 114699 121446 126729 158814 182169 183053 229398 238221 239377 253458 344097 364338 366106 380187 476442 478754 549159 688194 718131 760374 1032291 1098318 1140561 1436262 1647477 2064582 2154393 2281122 2436013 3096873 3111901 3294954 4308786 4872026 4942431 6193746 6223802 6463179 7308039 9335703 9884862 12926358 14616078 14827293 18671406 19389537 21924117 28007109 29654586 31668169 38779074 41412221 43848234 56014218 63336338 65772351 82824442 84021327 95004507 124236663 131544702 168042654 190009014 197317053 248473326 252063981 285013521 372709989 394634106 504127962 538358873 570027042 745419978 855040563 1076717746 1118129967 1615076619 1710081126 2236259934 2565121689 3230153238 3354389901 4845229857 5130243378 6708779802 9690459714 14535689571 29071379142 43607068713 87214137426