Search a number
-
+
23414600576 = 2723311731483
BaseRepresentation
bin10101110011100111…
…100111001110000000
32020102210200221122202
4111303213213032000
5340423114204301
614431224052332
71456143551423
oct256347471600
966383627582
1023414600576
119a25a27a74
1246556040a8
132291c43353
1411c19b39ba
1592090966b
hex5739e7380

23414600576 has 128 divisors (see below), whose sum is σ = 50569021440. Its totient is φ = 10767144960.

The previous prime is 23414600567. The next prime is 23414600593. The reversal of 23414600576 is 67500641432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 15787931 + ... + 15789413.

It is an arithmetic number, because the mean of its divisors is an integer number (395070480).

Almost surely, 223414600576 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 23414600576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25284510720).

23414600576 is an abundant number, since it is smaller than the sum of its proper divisors (27154420864).

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

23414600576 is a wasteful number, since it uses less digits than its factorization.

23414600576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 23414600576 in words is "twenty-three billion, four hundred fourteen million, six hundred thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 173 184 248 346 368 496 692 713 736 992 1384 1426 1472 1483 1984 2768 2852 2944 2966 3968 3979 5363 5536 5704 5932 7958 10726 11072 11408 11864 15916 21452 22144 22816 23728 31832 34109 42904 45632 45973 47456 63664 68218 85808 91264 91946 94912 123349 127328 136436 171616 183892 189824 246698 254656 256559 272872 343232 367784 493396 509312 513118 545744 686464 735568 986792 1026236 1057379 1091488 1471136 1973584 2052472 2114758 2182976 2942272 3947168 4104944 4229516 4365952 5884544 5900857 7894336 7953329 8209888 8459032 11801714 15788672 15906658 16419776 16918064 23603428 31813316 32839552 33836128 47206856 63626632 67672256 94413712 127253264 135344512 182926567 188827424 254506528 365853134 377654848 509013056 731706268 755309696 1018026112 1463412536 2926825072 5853650144 11707300288 23414600576