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32135456052 = 22337124934033
BaseRepresentation
bin11101111011011011…
…000010010100110100
310001221120112022101000
4131323123002110310
51011303134043202
622432434203300
72215226604150
oct357333022464
9101846468330
1032135456052
11126a0699847
12628a123530
13305191846b
1417abcc4060
15c8134691c
hex77b6c2534

32135456052 has 96 divisors (see below), whose sum is σ = 95295200000. Its totient is φ = 9173938176.

The previous prime is 32135456033. The next prime is 32135456053. The reversal of 32135456052 is 25065453123.

32135456052 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 5 + 45 + 605 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 32135455998 and 32135456016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32135456053) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 927228 + ... + 961260.

Almost surely, 232135456052 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 32135456052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47647600000).

32135456052 is an abundant number, since it is smaller than the sum of its proper divisors (63159743948).

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

32135456052 is a wasteful number, since it uses less digits than its factorization.

32135456052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35302 (or 35294 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 32135456052 in words is "thirty-two billion, one hundred thirty-five million, four hundred fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1249 2498 3747 4996 7494 8743 11241 14988 17486 22482 26229 33723 34033 34972 44964 52458 67446 68066 78687 102099 104916 134892 136132 157374 204198 236061 238231 306297 314748 408396 472122 476462 612594 714693 918891 944244 952924 1225188 1429386 1837782 2144079 2858772 3675564 4288158 6432237 8576316 12864474 25728948 42507217 85014434 127521651 170028868 255043302 297550519 382564953 510086604 595101038 765129906 892651557 1147694859 1190202076 1530259812 1785303114 2295389718 2677954671 3570606228 4590779436 5355909342 8033864013 10711818684 16067728026 32135456052