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42633131156 = 22711377152691
BaseRepresentation
bin100111101101001000…
…011111010010010100
311002001011202110101122
4213231020133102110
51144303040144111
631330235543112
73036326431010
oct475510372224
9132034673348
1042633131156
11170983224a0
1283198baa98
134035755735
1420c6195540
151197c5dcdb
hex9ed21f494

42633131156 has 96 divisors (see below), whose sum is σ = 96879089664. Its totient is φ = 15933456000.

The previous prime is 42633131111. The next prime is 42633131161. The reversal of 42633131156 is 65113133624.

42633131156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×426331311564 (a number of 44 digits) contains 4444 as substring.

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, 782771 + ... + 835461.

It is an arithmetic number, because the mean of its divisors is an integer number (1009157184).

Almost surely, 242633131156 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 42633131156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48439544832).

42633131156 is an abundant number, since it is smaller than the sum of its proper divisors (54245958508).

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

42633131156 is a wasteful number, since it uses less digits than its factorization.

42633131156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52821 (or 52819 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The spelling of 42633131156 in words is "forty-two billion, six hundred thirty-three million, one hundred thirty-one thousand, one hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 37 44 71 74 77 142 148 154 259 284 308 407 497 518 781 814 994 1036 1562 1628 1988 2627 2849 3124 5254 5467 5698 10508 10934 11396 18389 21868 28897 36778 52691 57794 73556 105382 115588 202279 210764 368837 404558 579601 737674 809116 1159202 1475348 1949567 2318404 3741061 3899134 4057207 7482122 7798268 8114414 13646969 14964244 16228828 21445237 26187427 27293938 41151671 42890474 52374854 54587876 82303342 85780948 104749708 138419257 150116659 164606684 276838514 288061697 300233318 553677028 576123394 600466636 968934799 1152246788 1522611827 1937869598 3045223654 3875739196 6090447308 10658282789 21316565578 42633131156