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23464233246432 = 25311171307053991
BaseRepresentation
bin1010101010111001100010…
…10010011001111011100000
310002002011021202111011020210
411111130301102121323200
511033414222202341212
6121523153035134120
74641143400535026
oct525346122317340
9102064252434223
1023464233246432
117527141a57940
12276b6382a4340
13101288ac286a4
145b19640b8716
152aa55a1c153c
hex155731499ee0

23464233246432 has 96 divisors (see below), whose sum is σ = 71145562892544. Its totient is φ = 6692116428800.

The previous prime is 23464233246361. The next prime is 23464233246473.

It is a happy number.

23464233246432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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, 653509044 + ... + 653544947.

It is an arithmetic number, because the mean of its divisors is an integer number (741099613464).

Almost surely, 223464233246432 is an apocalyptic number.

23464233246432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23464233246432 is an abundant number, since it is smaller than the sum of its proper divisors (47681329646112).

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

23464233246432 is a wasteful number, since it uses less digits than its factorization.

23464233246432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307054032 (or 1307054024 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

The spelling of 23464233246432 in words is "twenty-three trillion, four hundred sixty-four billion, two hundred thirty-three million, two hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 1307053991 2614107982 3921161973 5228215964 7842323946 10456431928 14377593901 15684647892 20912863856 22219917847 28755187802 31369295784 41825727712 43132781703 44439835694 57510375604 62738591568 66659753541 86265563406 88879671388 115020751208 125477183136 133319507082 172531126812 177759342776 230041502416 244419096317 266639014164 345062253624 355518685552 460083004832 488838192634 533278028328 690124507248 711037371104 733257288951 977676385268 1066556056656 1380249014496 1466514577902 1955352770536 2133112113312 2933029155804 3910705541072 5866058311608 7821411082144 11732116623216 23464233246432