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215531135512 = 237111493077649
BaseRepresentation
bin1100100010111010101…
…0000010001000011000
3202121022201212010010121
43020232222002020120
512012401432314022
6243002540123024
721400030265320
oct3105652021030
9677281763117
10215531135512
1183451786190
1235930b36474
131742ac020a4
14a608a84280
155916c022c7
hex322ea82218

215531135512 has 128 divisors (see below), whose sum is σ = 508939200000. Its totient is φ = 83127029760.

The previous prime is 215531135497. The next prime is 215531135531.

It is a happy number.

215531135512 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28173864 + ... + 28181512.

It is an arithmetic number, because the mean of its divisors is an integer number (3976087500).

Almost surely, 2215531135512 is an apocalyptic number.

215531135512 is a gapful number since it is divisible by the number (22) 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 215531135512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254469600000).

215531135512 is an abundant number, since it is smaller than the sum of its proper divisors (293408064488).

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

215531135512 is a wasteful number, since it uses less digits than its factorization.

215531135512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8129 (or 8125 counting only the distinct ones).

The product of its digits is 22500, while the sum is 34.

The spelling of 215531135512 in words is "two hundred fifteen billion, five hundred thirty-one million, one hundred thirty-five thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 149 154 298 307 308 596 614 616 1043 1192 1228 1639 2086 2149 2456 3278 3377 4172 4298 6556 6754 7649 8344 8596 11473 13112 13508 15298 17192 22946 23639 27016 30596 45743 45892 47278 53543 61192 84139 91486 91784 94556 107086 168278 182972 189112 214172 320201 336556 365944 428344 503173 588973 640402 673112 1006346 1139701 1177946 1280804 2012692 2279402 2348243 2355892 2561608 3522211 4025384 4558804 4696486 4711784 7044422 7977907 9117608 9392972 12536711 14088844 15955814 16437701 18785944 25073422 25830673 28177688 31911628 32875402 50146844 51661346 63823256 65750804 87756977 100293688 103322692 131501608 175513954 180814711 206645384 349888207 351027908 361629422 699776414 702055816 723258844 1399552828 1446517688 2449217449 2799105656 3848770277 4898434898 7697540554 9796869796 15395081108 19593739592 26941391939 30790162216 53882783878 107765567756 215531135512