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13928503952 = 2411717315269
BaseRepresentation
bin11001111100011010…
…00001101010010000
31022221200221022102202
430332031001222100
5212011144111302
610222040102332
71002106221146
oct147615015220
938850838382
1013928503952
1159a83061a0
1228487649a8
13140c86841c
14961bc5596
15567c0e202
hex33e341a90

13928503952 has 80 divisors (see below), whose sum is σ = 30265384320. Its totient is φ = 6156057600.

The previous prime is 13928503943. The next prime is 13928503987. The reversal of 13928503952 is 25930582931.

It is a junction number, because it is equal to n+sod(n) for n = 13928503897 and 13928503906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904574 + ... + 919842.

It is an arithmetic number, because the mean of its divisors is an integer number (378317304).

Almost surely, 213928503952 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 13928503952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15132692160).

13928503952 is an abundant number, since it is smaller than the sum of its proper divisors (16336880368).

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

13928503952 is a wasteful number, since it uses less digits than its factorization.

13928503952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15432 (or 15426 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 47.

The spelling of 13928503952 in words is "thirteen billion, nine hundred twenty-eight million, five hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 71 73 88 142 146 176 284 292 568 584 781 803 1136 1168 1562 1606 3124 3212 5183 6248 6424 10366 12496 12848 15269 20732 30538 41464 57013 61076 82928 114026 122152 167959 228052 244304 335918 456104 671836 912208 1084099 1114637 1343672 2168198 2229274 2687344 4336396 4458548 8672792 8917096 11925089 12261007 17345584 17834192 23850178 24522014 47700356 49044028 79139227 95400712 98088056 158278454 190801424 196176112 316556908 633113816 870531497 1266227632 1741062994 3482125988 6964251976 13928503952