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245660327432 = 231317661210209
BaseRepresentation
bin1110010011001001111…
…1110001111000001000
3212111002111020122111122
43210302133301320020
513011103020434212
6304504345214412
723514456221102
oct3446237617010
9774074218448
10245660327432
1195202939aa3
123b73b191408
131a21cc8bbc0
14bc6631c572
1565cbd4a272
hex39327f1e08

245660327432 has 64 divisors (see below), whose sum is σ = 526021095600. Its totient is φ = 106550231040.

The previous prime is 245660327413. The next prime is 245660327441. The reversal of 245660327432 is 234723066542.

It is a happy number.

245660327432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 151481310436 + 94179016996 = 389206^2 + 306886^2 .

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 15 ways as a sum of consecutive naturals, for example, 1063544 + ... + 1273752.

Almost surely, 2245660327432 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 245660327432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263010547800).

245660327432 is an abundant number, since it is smaller than the sum of its proper divisors (280360768168).

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

245660327432 is a wasteful number, since it uses less digits than its factorization.

245660327432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210906 (or 210902 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 44.

The spelling of 245660327432 in words is "two hundred forty-five billion, six hundred sixty million, three hundred twenty-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 661 884 1322 1768 2644 5288 8593 11237 17186 22474 34372 44948 68744 89896 146081 210209 292162 420418 584324 840836 1168648 1681672 2732717 3573553 5465434 7147106 10930868 14294212 21861736 28588424 46456189 92912378 138948149 185824756 277896298 371649512 555792596 1111585192 1806325937 2362118533 3612651874 4724237066 7225303748 9448474132 14450607496 18896948264 30707540929 61415081858 122830163716 245660327432