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532980448002 = 232294145754493
BaseRepresentation
bin1111100000110000001…
…11000011101100000010
31212221201022202001122200
413300120013003230002
532213020443314002
61044503044414030
753335516026102
oct7603007035402
91787638661580
10532980448002
111960436281a2
12873660a7316
133b34bb3cb72
141bb21425202
15dce623cb1c
hex7c181c3b02

532980448002 has 96 divisors (see below), whose sum is σ = 1226448503280. Its totient is φ = 166980925440.

The previous prime is 532980447959. The next prime is 532980448067. The reversal of 532980448002 is 200844089235.

It can be written as a sum of positive squares in 8 ways, for example, as 163862230401 + 369118217601 = 404799^2 + 607551^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9753468 + ... + 9807960.

Almost surely, 2532980448002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532980448002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613224251640).

532980448002 is an abundant number, since it is smaller than the sum of its proper divisors (693468055278).

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

532980448002 is a wasteful number, since it uses less digits than its factorization.

532980448002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55028 (or 55025 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 532980448002 in words is "five hundred thirty-two billion, nine hundred eighty million, four hundred forty-eight thousand, two".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 457 522 738 914 1189 1371 2378 2742 3567 4113 7134 8226 10701 13253 18737 21402 26506 37474 39759 54493 56211 79518 108986 112422 119277 163479 168633 238554 326958 337266 490437 543373 980874 1086746 1580297 1630119 2234213 3160594 3260238 4468426 4740891 4890357 6702639 9481782 9780714 13405278 14222673 20107917 24903301 28445346 40215834 49806602 64792177 74709903 129584354 149419806 194376531 224129709 388753062 448259418 583129593 722195729 1021035341 1166259186 1444391458 2042070682 2166587187 3063106023 4333174374 6126212046 6499761561 9189318069 12999523122 18378636138 29610024889 59220049778 88830074667 177660149334 266490224001 532980448002