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59331149952 = 273173893111
BaseRepresentation
bin110111010000011010…
…011000000010000000
312200010220000200222020
4313100122120002000
51433002233244302
643131212241440
74200165311364
oct672032300200
9180126020866
1059331149952
1123186984128
12b5b9a70280
135797006329
142c2bb072a4
151823b84ebc
hexdd0698080

59331149952 has 64 divisors (see below), whose sum is σ = 158509517760. Its totient is φ = 19662709760.

The previous prime is 59331149947. The next prime is 59331149989. The reversal of 59331149952 is 25994113395.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 59331149895 and 59331149904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380124 + ... + 512987.

It is an arithmetic number, because the mean of its divisors is an integer number (2476711215).

Almost surely, 259331149952 is an apocalyptic number.

It is an amenable number.

59331149952 is an abundant number, since it is smaller than the sum of its proper divisors (99178367808).

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

59331149952 is a wasteful number, since it uses less digits than its factorization.

59331149952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893301 (or 893289 counting only the distinct ones).

The product of its digits is 1312200, while the sum is 51.

The spelling of 59331149952 in words is "fifty-nine billion, three hundred thirty-one million, one hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 346 384 519 692 1038 1384 2076 2768 4152 5536 8304 11072 16608 22144 33216 66432 893111 1786222 2679333 3572444 5358666 7144888 10717332 14289776 21434664 28579552 42869328 57159104 85738656 114318208 154508203 171477312 309016406 342954624 463524609 618032812 927049218 1236065624 1854098436 2472131248 3708196872 4944262496 7416393744 9888524992 14832787488 19777049984 29665574976 59331149952