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32141923128 = 23327574911093
BaseRepresentation
bin11101111011110011…
…101101001100111000
310001222000200212112100
4131323303231030320
51011311313020003
622433224543400
72215335560460
oct357363551470
9101860625470
1032141923128
11126a4306637
126290321b60
133053070c33
1417acac8ba0
15c81bc2ba3
hex77bced338

32141923128 has 96 divisors (see below), whose sum is σ = 99513180000. Its totient is φ = 9180981504.

The previous prime is 32141923127. The next prime is 32141923129. The reversal of 32141923128 is 82132914123.

32141923128 is a `hidden beast` number, since 3 + 2 + 1 + 419 + 231 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (32141923127) and next prime (32141923129).

It is a super-2 number, since 2×321419231282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32141923092 and 32141923101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32141923127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2891950 + ... + 2903042.

It is an arithmetic number, because the mean of its divisors is an integer number (1036595625).

Almost surely, 232141923128 is an apocalyptic number.

It is an amenable number.

32141923128 is an abundant number, since it is smaller than the sum of its proper divisors (67371256872).

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

32141923128 is a wasteful number, since it uses less digits than its factorization.

32141923128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16861 (or 16854 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 32141923128 in words is "thirty-two billion, one hundred forty-one million, nine hundred twenty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 5749 11093 11498 17247 22186 22996 33279 34494 40243 44372 45992 51741 66558 68988 77651 80486 88744 99837 103482 120729 133116 137976 155302 160972 199674 206964 232953 241458 266232 310604 321944 362187 399348 413928 465906 482916 621208 698859 724374 798696 931812 965832 1397718 1448748 1863624 2795436 2897496 5590872 63773657 127547314 191320971 255094628 382641942 446415599 510189256 573962913 765283884 892831198 1147925826 1339246797 1530567768 1785662396 2295851652 2678493594 3571324792 4017740391 4591703304 5356987188 8035480782 10713974376 16070961564 32141923128