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71085478332 = 22311316192749
BaseRepresentation
bin100001000110100000…
…1100101000110111100
320210111001212110012210
41002031001211012330
52131040340301312
652353424300420
75064364411341
oct1021501450674
9223431773183
1071085478332
1128168999000
121193a471710
13691b2b261b
143624c547c8
151cb0a78e3c
hex108d0651bc

71085478332 has 96 divisors (see below), whose sum is σ = 182619360000. Its totient is φ = 21519917760.

The previous prime is 71085478319. The next prime is 71085478361. The reversal of 71085478332 is 23387458017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25857294 + ... + 25860042.

It is an arithmetic number, because the mean of its divisors is an integer number (1902285000).

Almost surely, 271085478332 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 71085478332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91309680000).

71085478332 is an abundant number, since it is smaller than the sum of its proper divisors (111533881668).

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

71085478332 is a wasteful number, since it uses less digits than its factorization.

71085478332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 71085478332 in words is "seventy-one billion, eighty-five million, four hundred seventy-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 1619 2662 2749 3238 3993 4857 5324 5498 6476 7986 8247 9714 10996 15972 16494 17809 19428 30239 32988 35618 53427 60478 71236 90717 106854 120956 181434 195899 213708 332629 362868 391798 587697 665258 783596 997887 1175394 1330516 1995774 2154889 2350788 3658919 3991548 4309778 4450631 6464667 7317838 8619556 8901262 10976757 12929334 13351893 14635676 17802524 21953514 25858668 26703786 43907028 48956941 53407572 97913882 146870823 195827764 293741646 538526351 587483292 1077052702 1615579053 2154105404 3231158106 5923789861 6462316212 11847579722 17771369583 23695159444 35542739166 71085478332