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23115650324352 = 273691725312011
BaseRepresentation
bin1010100000110000010000…
…01000000101011110000000
310000211211112102012222100020
411100120020020011132000
511012211322440334402
6121055103321253440
74604023235561205
oct520301010053600
9100754472188306
1023115650324352
117402323a91173
122713b74634280
13cb8a47b07c11
1459cb36921cac
152a14577878bc
hex150608205780

23115650324352 has 128 divisors (see below), whose sum is σ = 61503402280320. Its totient is φ = 7692364646400.

The previous prime is 23115650324323. The next prime is 23115650324387. The reversal of 23115650324352 is 25342305651132.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1924534027 + ... + 1924546037.

It is an arithmetic number, because the mean of its divisors is an integer number (480495330315).

Almost surely, 223115650324352 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 23115650324352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30751701140160).

23115650324352 is an abundant number, since it is smaller than the sum of its proper divisors (38387751955968).

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

23115650324352 is a wasteful number, since it uses less digits than its factorization.

23115650324352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19972 (or 19960 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 23115650324352 its reverse (25342305651132), we get a palindrome (48457955975484).

The spelling of 23115650324352 in words is "twenty-three trillion, one hundred fifteen billion, six hundred fifty million, three hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 691 1382 2073 2764 4146 5528 7253 8292 11056 12011 14506 16584 21759 22112 24022 29012 33168 36033 43518 44224 48044 58024 66336 72066 87036 88448 96088 116048 132672 144132 174072 192176 232096 265344 288264 348144 384352 464192 576528 696288 768704 928384 1153056 1392576 1537408 2306112 2785152 4612224 5011823 8299601 10023646 15035469 16599202 20047292 24898803 30070938 33198404 40094584 49797606 60141876 66396808 80189168 87115783 99595212 120283752 132793616 160378336 174231566 199190424 240567504 261347349 265587232 320756672 348463132 398380848 481135008 522694698 531174464 641513344 696926264 796761696 962270016 1045389396 1062348928 1393852528 1593523392 1924540032 2090778792 2787705056 3187046784 4181557584 5575410112 8363115168 11150820224 16726230336 33452460672 60197006053 120394012106 180591018159 240788024212 361182036318 481576048424 722364072636 963152096848 1444728145272 1926304193696 2889456290544 3852608387392 5778912581088 7705216774784 11557825162176 23115650324352