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23538834064 = 2423414793257
BaseRepresentation
bin10101111011000001…
…100001101010010000
32020202110110122222001
4111323001201222100
5341201420142224
614451422523344
71462212534244
oct257301415220
966673418861
1023538834064
119a8a070479
12468b136554
1322b18c01a5
1411d42b2424
1592b799544
hex57b061a90

23538834064 has 80 divisors (see below), whose sum is σ = 48866872320. Its totient is φ = 10956830720.

The previous prime is 23538834017. The next prime is 23538834107. The reversal of 23538834064 is 46043883532.

It is a super-3 number, since 3×235388340643 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 7225524 + ... + 7228780.

It is an arithmetic number, because the mean of its divisors is an integer number (610835904).

Almost surely, 223538834064 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 23538834064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24433436160).

23538834064 is an abundant number, since it is smaller than the sum of its proper divisors (25328038256).

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

23538834064 is a wasteful number, since it uses less digits than its factorization.

23538834064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 23538834064 in words is "twenty-three billion, five hundred thirty-eight million, eight hundred thirty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 479 656 943 958 1886 1916 3257 3772 3832 6514 7544 7664 11017 13028 15088 19639 22034 26056 39278 44068 52112 74911 78556 88136 133537 149822 157112 176272 267074 299644 314224 451697 534148 599288 903394 1068296 1198576 1560103 1806788 2136592 3071351 3120206 3613576 6142702 6240412 7227152 12285404 12480824 24570808 24961648 35882369 49141616 63964223 71764738 127928446 143529476 255856892 287058952 511713784 574117904 1023427568 1471177129 2942354258 5884708516 11769417032 23538834064