Search a number
-
+
10478865696 = 253138994343
BaseRepresentation
bin10011100001001011…
…01100110100100000
31000001021211112100220
421300211230310200
5132430042200241
64451450243040
7520450613565
oct116045546440
930037745326
1010478865696
114498056992
122045426480
13cacc82a60
147159b686c
15414e4e166
hex27096cd20

10478865696 has 96 divisors (see below), whose sum is σ = 29956106880. Its totient is φ = 3188004864.

The previous prime is 10478865689. The next prime is 10478865821. The reversal of 10478865696 is 69656887401.

It is a tau number, because it is divible by the number of its divisors (96).

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, 63901 + ... + 158243.

It is an arithmetic number, because the mean of its divisors is an integer number (312042780).

Almost surely, 210478865696 is an apocalyptic number.

10478865696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10478865696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14978053440).

10478865696 is an abundant number, since it is smaller than the sum of its proper divisors (19477241184).

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

10478865696 is a wasteful number, since it uses less digits than its factorization.

10478865696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94458 (or 94450 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 10478865696 in words is "ten billion, four hundred seventy-eight million, eight hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 89 96 104 156 178 208 267 312 356 416 534 624 712 1068 1157 1248 1424 2136 2314 2848 3471 4272 4628 6942 8544 9256 13884 18512 27768 37024 55536 94343 111072 188686 283029 377372 566058 754744 1132116 1226459 1509488 2264232 2452918 3018976 3679377 4528464 4905836 7358754 8396527 9056928 9811672 14717508 16793054 19623344 25189581 29435016 33586108 39246688 50379162 58870032 67172216 100758324 109154851 117740064 134344432 201516648 218309702 268688864 327464553 403033296 436619404 654929106 806066592 873238808 1309858212 1746477616 2619716424 3492955232 5239432848 10478865696