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84687040628892 = 223213376793719959
BaseRepresentation
bin10011010000010110111100…
…111110010100100010011100
3102002212000001110200212012100
4103100112330332110202130
542100003024400111032
6500040404523405100
723560302546120102
oct2320267476244234
9362760043625170
1084687040628892
1124a90632715049
1295b8aba683790
133833c5227ca50
1416cac36007c72
159bcd86dc297c
hex4d05bcf9489c

84687040628892 has 144 divisors (see below), whose sum is σ = 236802855714880. Its totient is φ = 25349525351424.

The previous prime is 84687040628887. The next prime is 84687040628909. The reversal of 84687040628892 is 29882604078648.

84687040628892 is a `hidden beast` number, since 8 + 4 + 68 + 70 + 406 + 2 + 8 + 8 + 92 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 84687040628892.

It is a congruent number.

It is an unprimeable number.

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, 117267609 + ... + 117987567.

Almost surely, 284687040628892 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 84687040628892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118401427857440).

84687040628892 is an abundant number, since it is smaller than the sum of its proper divisors (152115815085988).

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

84687040628892 is a wasteful number, since it uses less digits than its factorization.

84687040628892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726812 (or 726807 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 84687040628892 in words is "eighty-four trillion, six hundred eighty-seven billion, forty million, six hundred twenty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 6793 8658 13586 17316 20379 27172 40758 61137 81516 88309 122274 176618 244548 251341 264927 353236 502682 529854 719959 754023 794781 1005364 1059708 1439918 1508046 1589562 2159877 2262069 2879836 3016092 3179124 3267433 4319754 4524138 6479631 6534866 8639508 9048276 9359467 9802299 12959262 13069732 18718934 19604598 25918524 26638483 28078401 29406897 37437868 39209196 53276966 56156802 58813794 79915449 84235203 106553932 112313604 117627588 159830898 168470406 239746347 319661796 336940812 346300279 479492694 692600558 958985388 1038900837 1385201116 2077801674 3116702511 4155603348 4890681487 6233405022 9781362974 12466810044 14672044461 19562725948 29344088922 44016133383 58688177844 63578859331 88032266766 127157718662 176064533532 180955215019 190736577993 254315437324 361910430038 381473155986 542865645057 572209733979 723820860076 762946311972 1085731290114 1144419467958 1628596935171 2171462580228 2288838935916 2352417795247 3257193870342 4704835590494 6514387740684 7057253385741 9409671180988 14114506771482 21171760157223 28229013542964 42343520314446 84687040628892