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23353661640 = 23351073794799
BaseRepresentation
bin10101101111111111…
…001001100011001000
32020021120000221011010
4111233333021203020
5340312014133030
614421210003520
71454503564041
oct255777114310
966246027133
1023353661640
1199a4595711
1246391165a0
132282427bca
1411b786d8c8
1591a3bd6b0
hex56ffc98c8

23353661640 has 128 divisors (see below), whose sum is σ = 70917120000. Its totient is φ = 6151880448.

The previous prime is 23353661627. The next prime is 23353661641. The reversal of 23353661640 is 4616635332.

It is not an unprimeable number, because it can be changed into a prime (23353661641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4863961 + ... + 4868759.

It is an arithmetic number, because the mean of its divisors is an integer number (554040000).

Almost surely, 223353661640 is an apocalyptic number.

23353661640 is a gapful number since it is divisible by the number (20) 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 23353661640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35458560000).

23353661640 is an abundant number, since it is smaller than the sum of its proper divisors (47563458360).

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

23353661640 is a wasteful number, since it uses less digits than its factorization.

23353661640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 23353661640 in words is "twenty-three billion, three hundred fifty-three million, six hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 379 428 535 642 758 856 1070 1137 1284 1516 1605 1895 2140 2274 2568 3032 3210 3790 4280 4548 4799 5685 6420 7580 9096 9598 11370 12840 14397 15160 19196 22740 23995 28794 38392 40553 45480 47990 57588 71985 81106 95980 115176 121659 143970 162212 191960 202765 243318 287940 324424 405530 486636 513493 575880 608295 811060 973272 1026986 1216590 1540479 1622120 1818821 2053972 2433180 2567465 3080958 3637642 4107944 4866360 5134930 5456463 6161916 7275284 7702395 9094105 10269860 10912926 12323832 14550568 15404790 18188210 20539720 21825852 27282315 30809580 36376420 43651704 54564630 61619160 72752840 109129260 194613847 218258520 389227694 583841541 778455388 973069235 1167683082 1556910776 1946138470 2335366164 2919207705 3892276940 4670732328 5838415410 7784553880 11676830820 23353661640