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29630455074 = 2331124579923
BaseRepresentation
bin11011100110000111…
…001101110100100010
32211110222221002001000
4123212013031310202
5441140344030244
621340111252430
72066161466253
oct334607156442
984428832030
1029630455074
111162568a500
1258ab21a116
132a4295796c
141611330b2a
15b8647e169
hex6e61cdd22

29630455074 has 96 divisors (see below), whose sum is σ = 72541264320. Its totient is φ = 8958375360.

The previous prime is 29630455051. The next prime is 29630455091. The reversal of 29630455074 is 47055403692.

29630455074 is a `hidden beast` number, since 2 + 9 + 630 + 4 + 5 + 5 + 0 + 7 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2981077 + ... + 2990999.

It is an arithmetic number, because the mean of its divisors is an integer number (755638170).

Almost surely, 229630455074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29630455074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36270632160).

29630455074 is an abundant number, since it is smaller than the sum of its proper divisors (42910809246).

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

29630455074 is a wasteful number, since it uses less digits than its factorization.

29630455074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10413 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 29630455074 in words is "twenty-nine billion, six hundred thirty million, four hundred fifty-five thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 457 594 726 914 1089 1371 2178 2742 3267 4113 5027 6534 8226 9923 10054 12339 15081 19846 24678 29769 30162 45243 55297 59538 89307 90486 109153 110594 135729 165891 178614 218306 267921 271458 327459 331782 497673 535842 654918 982377 995346 1200683 1493019 1964754 2401366 2947131 2986038 3602049 4534811 5894262 7204098 9069622 10806147 13604433 21612294 27208866 32418441 40813299 49882921 64836882 81626598 99765842 122439897 149648763 244879794 299297526 448946289 548712131 897892578 1097424262 1346838867 1646136393 2693677734 3292272786 4938409179 9876818358 14815227537 29630455074