Search a number
-
+
23648578710328 = 23111374332781089
BaseRepresentation
bin1010110000010000111010…
…01000100010101100111000
310002201210010010000000022201
411120020131020202230320
511044424242122212303
6122144001310155544
74660360553244055
oct530103510425470
9102653103000281
1023648578710328
11759834018a3a0
12279b3051b2bb4
131027088c19c40
145ba85107402c
152b024913e81d
hex15821d222b38

23648578710328 has 64 divisors (see below), whose sum is σ = 52100050111200. Its totient is φ = 9921142087680.

The previous prime is 23648578710307. The next prime is 23648578710439. The reversal of 23648578710328 is 82301787584632.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 23648578710328.

It is a congruent number.

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, 7112808 + ... + 9893896.

Almost surely, 223648578710328 is an apocalyptic number.

It is an amenable number.

23648578710328 is an abundant number, since it is smaller than the sum of its proper divisors (28451471400872).

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

23648578710328 is a wasteful number, since it uses less digits than its factorization.

23648578710328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788552 (or 2788548 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 64.

The spelling of 23648578710328 in words is "twenty-three trillion, six hundred forty-eight billion, five hundred seventy-eight million, seven hundred ten thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 7433 14866 29732 59464 81763 96629 163526 193258 327052 386516 654104 773032 1062919 2125838 2781089 4251676 5562178 8503352 11124356 22248712 30591979 36154157 61183958 72308314 122367916 144616628 244735832 289233256 397695727 795391454 1590782908 3181565816 20671834537 41343669074 82687338148 165374676296 227390179907 268733848981 454780359814 537467697962 909560719628 1074935395924 1819121439256 2149870791848 2956072338791 5912144677582 11824289355164 23648578710328