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216353018816 = 26112349926777
BaseRepresentation
bin1100100101111110100…
…1010001001111000000
3202200110000101010001222
43021133221101033000
512021042333100231
6243220300014212
721426300213464
oct3113751211700
9680400333058
10216353018816
1183833703290
1235b20231368
131752c27767c
14a685ca84a4
155963e4d27b
hex325fa513c0

216353018816 has 112 divisors (see below), whose sum is σ = 489716064000. Its totient is φ = 93874513920.

The previous prime is 216353018741. The next prime is 216353018851. The reversal of 216353018816 is 618810353612.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8066420 + ... + 8093196.

Almost surely, 2216353018816 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 216353018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244858032000).

216353018816 is an abundant number, since it is smaller than the sum of its proper divisors (273363045184).

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

216353018816 is a wasteful number, since it uses less digits than its factorization.

216353018816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27322 (or 27312 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 216353018816 in words is "two hundred sixteen billion, three hundred fifty-three million, eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 499 506 704 736 998 1012 1472 1996 2024 3992 4048 5489 7984 8096 10978 11477 15968 16192 21956 22954 26777 31936 43912 45908 53554 87824 91816 107108 126247 175648 183632 214216 252494 294547 351296 367264 428432 504988 589094 615871 734528 856864 1009976 1178188 1231742 1713728 2019952 2356376 2463484 4039904 4712752 4926968 6774581 8079808 9425504 9853936 13361723 13549162 18851008 19707872 26723446 27098324 39415744 53446892 54196648 106893784 108393296 146978953 213787568 216786592 293957906 307319629 427575136 433573184 587915812 614639258 855150272 1175831624 1229278516 2351663248 2458557032 3380515919 4703326496 4917114064 6761031838 9406652992 9834228128 13522063676 19668456256 27044127352 54088254704 108176509408 216353018816