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201532215552 = 2832714192311
BaseRepresentation
bin1011101110110001000…
…0011001000100000000
3201021012010102022002120
42323230100121010000
511300214221344202
6232325502444240
720363104365513
oct2735420310400
9637163368076
10201532215552
1178518755448
1233084893680
13160098b09b5
149a7b7acd7a
155397c340bc
hex2eec419100

201532215552 has 144 divisors (see below), whose sum is σ = 539867166720. Its totient is φ = 66740889600.

The previous prime is 201532215527. The next prime is 201532215557. The reversal of 201532215552 is 255512235102.

It is not an unprimeable number, because it can be changed into a prime (201532215557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87204477 + ... + 87206787.

Almost surely, 2201532215552 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 201532215552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269933583360).

201532215552 is an abundant number, since it is smaller than the sum of its proper divisors (338334951168).

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

201532215552 is a wasteful number, since it uses less digits than its factorization.

201532215552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 201532215552 in words is "two hundred one billion, five hundred thirty-two million, two hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 419 542 768 813 838 1084 1257 1626 1676 2168 2311 2514 3252 3352 4336 4622 5028 6504 6704 6933 8672 9244 10056 13008 13408 13866 17344 18488 20112 26016 26816 27732 34688 36976 40224 52032 53632 55464 69376 73952 80448 104064 107264 110928 113549 147904 160896 208128 221856 227098 295808 321792 340647 443712 454196 591616 626281 681294 887424 908392 968309 1252562 1362588 1774848 1816784 1878843 1936618 2505124 2725176 2904927 3633568 3757686 3873236 5010248 5450352 5809854 7267136 7515372 7746472 10020496 10900704 11619708 14534272 15030744 15492944 20040992 21801408 23239416 29068544 30061488 30985888 40081984 43602816 46478832 60122976 61971776 80163968 87205632 92957664 120245952 123943552 160327936 185915328 240491904 247887104 262411739 371830656 480983808 524823478 743661312 787235217 1049646956 1574470434 2099293912 3148940868 4198587824 6297881736 8397175648 12595763472 16794351296 25191526944 33588702592 50383053888 67177405184 100766107776 201532215552