Search a number
-
+
23473937664 = 283225140591
BaseRepresentation
bin10101110111001001…
…111101110100000000
32020120221100120211200
4111313021331310000
5341033312001124
614441143541200
71460464115022
oct256711756400
966527316750
1023473937664
119a56475891
12467145a800
1322a131a658
1411c981c012
15925c2abc9
hex57727dd00

23473937664 has 108 divisors (see below), whose sum is σ = 67952469312. Its totient is φ = 7793280000.

The previous prime is 23473937651. The next prime is 23473937677. The reversal of 23473937664 is 46673937432.

23473937664 is a `hidden beast` number, since 23 + 473 + 93 + 7 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (23473937651) and next prime (23473937677).

It is a self number, because there is not a number n which added to its sum of digits gives 23473937664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558009 + ... + 598599.

Almost surely, 223473937664 is an apocalyptic number.

23473937664 is a gapful number since it is divisible by the number (24) 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 23473937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33976234656).

23473937664 is an abundant number, since it is smaller than the sum of its proper divisors (44478531648).

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

23473937664 is a wasteful number, since it uses less digits than its factorization.

23473937664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40864 (or 40847 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 54.

The spelling of 23473937664 in words is "twenty-three billion, four hundred seventy-three million, nine hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 251 256 288 384 502 576 753 768 1004 1152 1506 2008 2259 2304 3012 4016 4518 6024 8032 9036 12048 16064 18072 24096 32128 36144 40591 48192 64256 72288 81182 96384 121773 144576 162364 192768 243546 289152 324728 365319 487092 578304 649456 730638 974184 1298912 1461276 1948368 2597824 2922552 3896736 5195648 5845104 7793472 10188341 10391296 11690208 15586944 20376682 23380416 30565023 31173888 40753364 46760832 61130046 81506728 91695069 93521664 122260092 163013456 183390138 244520184 326026912 366780276 489040368 652053824 733560552 978080736 1304107648 1467121104 1956161472 2608215296 2934242208 3912322944 5868484416 7824645888 11736968832 23473937664