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16503199956 = 22331771126601
BaseRepresentation
bin11110101111010101…
…01101100011010100
31120121010200102101000
433113222231203110
5232244304344311
611325332503300
71122651612405
oct172752554324
946533612330
1016503199956
116aa9698431
123246a7ab30
1317300bb999
14b27b1b9ac
15668c92056
hex3d7aad8d4

16503199956 has 96 divisors (see below), whose sum is σ = 45941333760. Its totient is φ = 5104512000.

The previous prime is 16503199861. The next prime is 16503199991. The reversal of 16503199956 is 65999130561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 67056 + ... + 193656.

It is an arithmetic number, because the mean of its divisors is an integer number (478555560).

Almost surely, 216503199956 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 16503199956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22970666880).

16503199956 is an abundant number, since it is smaller than the sum of its proper divisors (29438133804).

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

16503199956 is a wasteful number, since it uses less digits than its factorization.

16503199956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126702 (or 126694 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 16503199956 in words is "sixteen billion, five hundred three million, one hundred ninety-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 71 102 108 142 153 204 213 284 306 426 459 612 639 852 918 1207 1278 1836 1917 2414 2556 3621 3834 4828 7242 7668 10863 14484 21726 32589 43452 65178 126601 130356 253202 379803 506404 759606 1139409 1519212 2152217 2278818 3418227 4304434 4557636 6456651 6836454 8608868 8988671 12913302 13672908 17977342 19369953 25826604 26966013 35954684 38739906 53932026 58109859 77479812 80898039 107864052 116219718 152807407 161796078 232439436 242694117 305614814 323592156 458422221 485388234 611229628 916844442 970776468 1375266663 1833688884 2750533326 4125799989 5501066652 8251599978 16503199956