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86900610810 = 235133112315839
BaseRepresentation
bin101000011101110101…
…1100001011011111010
322022022020211102110010
41100323223201123322
52410433024021220
6103531021402350
76164323001316
oct1207353413372
9268266742403
1086900610810
1133944147122
1214a12a093b6
13826b97c290
1442c5422b46
1523d92041e0
hex143bae16fa

86900610810 has 128 divisors (see below), whose sum is σ = 232078049280. Its totient is φ = 20680531200.

The previous prime is 86900610803. The next prime is 86900610887. The reversal of 86900610810 is 1801600968.

It is a super-2 number, since 2×869006108102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14879871 + ... + 14885709.

It is an arithmetic number, because the mean of its divisors is an integer number (1813109760).

Almost surely, 286900610810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86900610810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116039024640).

86900610810 is an abundant number, since it is smaller than the sum of its proper divisors (145177438470).

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

86900610810 is a wasteful number, since it uses less digits than its factorization.

86900610810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124.

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 86900610810 in words is "eighty-six billion, nine hundred million, six hundred ten thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 1231 2015 2418 2462 3693 4030 5839 6045 6155 7386 11678 12090 12310 16003 17517 18465 29195 32006 35034 36930 38161 48009 58390 75907 76322 80015 87585 96018 114483 151814 160030 175170 181009 190805 227721 228966 240045 362018 379535 381610 455442 480090 496093 543027 572415 759070 905045 992186 1086054 1138605 1144830 1488279 1810090 2277210 2353117 2480465 2715135 2976558 4706234 4960930 5430270 7059351 7187809 7441395 11765585 14118702 14375618 14882790 21563427 23531170 35296755 35939045 43126854 70593510 71878090 93441517 107817135 186883034 215634270 222822079 280324551 445644158 467207585 560649102 668466237 934415170 1114110395 1336932474 1401622755 2228220790 2803245510 2896687027 3342331185 5793374054 6684662370 8690061081 14483435135 17380122162 28966870270 43450305405 86900610810