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20112681952 = 2511219318819
BaseRepresentation
bin10010101110110011…
…110010101111100000
31220220200120002211101
4102232303302233200
5312142321310302
613123432324144
71311260655466
oct225663625740
956820502741
1020112681952
1185910a2700
123a93843654
131b86b3b94c
14d8b258836
157caac8287
hex4aecf2be0

20112681952 has 144 divisors (see below), whose sum is σ = 47297779200. Its totient is φ = 8380627200.

The previous prime is 20112681893. The next prime is 20112681973. The reversal of 20112681952 is 25918621102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2276199 + ... + 2285017.

It is an arithmetic number, because the mean of its divisors is an integer number (328456800).

Almost surely, 220112681952 is an apocalyptic number.

20112681952 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 20112681952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23648889600).

20112681952 is an abundant number, since it is smaller than the sum of its proper divisors (27185097248).

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

20112681952 is a wasteful number, since it uses less digits than its factorization.

20112681952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8901 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 20112681952 in words is "twenty billion, one hundred twelve million, six hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 31 32 38 44 62 76 88 121 124 152 176 209 242 248 304 341 352 418 484 496 589 608 682 836 968 992 1178 1364 1672 1936 2299 2356 2728 3344 3751 3872 4598 4712 5456 6479 6688 7502 8819 9196 9424 10912 12958 15004 17638 18392 18848 25916 30008 35276 36784 51832 60016 70552 71269 73568 97009 103664 120032 141104 142538 167561 194018 207328 273389 282208 285076 335122 388036 546778 570152 670244 776072 1067099 1093556 1140304 1340488 1552144 1843171 2134198 2187112 2280608 2680976 3007279 3104288 3686342 4268396 4374224 5194391 5361952 6014558 7372684 8536792 8748448 10388782 12029116 14745368 17073584 20274881 20777564 24058232 29490736 33080069 34147168 40549762 41555128 48116464 57138301 58981472 66160138 81099524 83110256 96232928 114276602 132320276 162199048 166220512 228553204 264640552 324398096 457106408 529281104 628521311 648796192 914212816 1058562208 1257042622 1828425632 2514085244 5028170488 10056340976 20112681952