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23250615381 = 3371931331631
BaseRepresentation
bin10101101001110110…
…000011110001010101
32020000101010122021000
4111221312003301111
5340104124143011
614403045213513
71452112653450
oct255166036125
966011118230
1023250615381
119951403514
12460a701299
132266c889a6
1411a7cc8497
15911316356
hex569d83c55

23250615381 has 128 divisors (see below), whose sum is σ = 42971955200. Its totient is φ = 12124728000.

The previous prime is 23250615371. The next prime is 23250615431. The reversal of 23250615381 is 18351605232.

23250615381 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 0 + 615 + 38 + 1 = 666.

It is not a de Polignac number, because 23250615381 - 27 = 23250615253 is a prime.

It is a super-2 number, since 2×232506153812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23250615371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36846936 + ... + 36847566.

It is an arithmetic number, because the mean of its divisors is an integer number (335718400).

Almost surely, 223250615381 is an apocalyptic number.

23250615381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23250615381 is a deficient number, since it is larger than the sum of its proper divisors (19721339819).

23250615381 is a wasteful number, since it uses less digits than its factorization.

23250615381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 23250615381 in words is "twenty-three billion, two hundred fifty million, six hundred fifteen thousand, three hundred eighty-one".

Divisors: 1 3 7 9 19 21 27 31 57 63 93 133 171 189 217 279 331 399 513 589 631 651 837 993 1197 1767 1893 1953 2317 2979 3591 4123 4417 5301 5679 5859 6289 6951 8937 10261 11989 12369 13251 15903 17037 18867 19561 20853 30783 35967 37107 39753 44023 56601 58683 62559 71827 83923 92349 107901 111321 119259 132069 136927 169803 176049 194959 208861 215481 251769 277047 323703 371659 396207 410781 528147 584877 626583 646443 755307 1114977 1188621 1232343 1364713 1462027 1754631 1879749 1939329 2265921 2601613 3344931 3697029 3968359 4094139 4386081 5263893 5639247 6474691 7804839 10034793 11905077 12282417 13158243 19424073 23414517 27778513 35715231 36847251 39474729 45322837 58272219 70243551 83335539 107145693 123019129 135968511 174816657 250006617 369057387 407905533 750019851 861133903 1107172161 1223716599 2583401709 3321516483 7750205127 23250615381