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52677505408 = 2711316718013
BaseRepresentation
bin110001000011110100…
…101111000110000000
312000222012000112112211
4301003310233012000
51330340420133113
640111045431504
73543253256653
oct610364570600
9160865015484
1052677505408
1120382095540
12a26170b594
134c766ab758
14279a18989a
151584984b3d
hexc43d2f180

52677505408 has 128 divisors (see below), whose sum is σ = 119947299840. Its totient is φ = 22824806400.

The previous prime is 52677505351. The next prime is 52677505409. The reversal of 52677505408 is 80450577625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52677505409) 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, 2915410 + ... + 2933422.

It is an arithmetic number, because the mean of its divisors is an integer number (937088280).

Almost surely, 252677505408 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 52677505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59973649920).

52677505408 is an abundant number, since it is smaller than the sum of its proper divisors (67269794432).

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

52677505408 is a wasteful number, since it uses less digits than its factorization.

52677505408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18136 (or 18124 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 49.

The spelling of 52677505408 in words is "fifty-two billion, six hundred seventy-seven million, five hundred five thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 67 88 124 128 134 176 248 268 341 352 496 536 682 704 737 992 1072 1364 1408 1474 1984 2077 2144 2728 2948 3968 4154 4288 5456 5896 8308 8576 10912 11792 16616 18013 21824 22847 23584 33232 36026 43648 45694 47168 66464 72052 91388 94336 132928 144104 182776 198143 265856 288208 365552 396286 558403 576416 731104 792572 1116806 1152832 1206871 1462208 1585144 2233612 2305664 2413742 2924416 3170288 4467224 4827484 6142433 6340576 8934448 9654968 12284866 12681152 13275581 17868896 19309936 24569732 25362304 26551162 35737792 37413001 38619872 49139464 53102324 71475584 74826002 77239744 98278928 106204648 149652004 154479488 196557856 212409296 299304008 393115712 411543011 424818592 598608016 786231424 823086022 849637184 1197216032 1646172044 1699274368 2394432064 3292344088 4788864128 6584688176 13169376352 26338752704 52677505408