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46911606408 = 23336123914897
BaseRepresentation
bin101011101100001001…
…100100111010001000
311111002100110112002000
4223230021210322020
51232033332401113
633314554311000
73250341034542
oct535411447210
9144070415060
1046911606408
1118993419257
129112728460
134567c797b4
1423b04b8692
151348690373
hexaec264e88

46911606408 has 128 divisors (see below), whose sum is σ = 133009344000. Its totient is φ = 15315471360.

The previous prime is 46911606359. The next prime is 46911606419. The reversal of 46911606408 is 80460611964.

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, 3141616 + ... + 3156512.

It is an arithmetic number, because the mean of its divisors is an integer number (1039135500).

Almost surely, 246911606408 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 46911606408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66504672000).

46911606408 is an abundant number, since it is smaller than the sum of its proper divisors (86097737592).

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

46911606408 is a wasteful number, since it uses less digits than its factorization.

46911606408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15212 (or 15202 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 46911606408 in words is "forty-six billion, nine hundred eleven million, six hundred six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 239 244 366 478 488 549 717 732 956 1098 1434 1464 1647 1912 2151 2196 2868 3294 4302 4392 5736 6453 6588 8604 12906 13176 14579 14897 17208 25812 29158 29794 43737 44691 51624 58316 59588 87474 89382 116632 119176 131211 134073 174948 178764 262422 268146 349896 357528 393633 402219 524844 536292 787266 804438 908717 1049688 1072584 1574532 1608876 1817434 2726151 3149064 3217752 3560383 3634868 5452302 7120766 7269736 8178453 10681149 10904604 14241532 16356906 21362298 21809208 24535359 28483064 32043447 32713812 42724596 49070718 64086894 65427624 85449192 96130341 98141436 128173788 192260682 196282872 217183363 256347576 384521364 434366726 651550089 769042728 868733452 1303100178 1737466904 1954650267 2606200356 3909300534 5212400712 5863950801 7818601068 11727901602 15637202136 23455803204 46911606408