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23433504768 = 2113547087
BaseRepresentation
bin10101110100101111…
…101110100000000000
32020111010021101100000
4111310233232200000
5340442434123033
614433141200000
71456463334612
oct256457564000
966433241300
1023433504768
119a35669a73
12465ba00000
132295b31a6b
1411c42d4db2
159223e0a13
hex574bee800

23433504768 has 144 divisors (see below), whose sum is σ = 70188431040. Its totient is φ = 7811002368.

The previous prime is 23433504733. The next prime is 23433504793. The reversal of 23433504768 is 86740533432.

23433504768 is a `hidden beast` number, since 234 + 3 + 350 + 4 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 474121 + ... + 521207.

It is an arithmetic number, because the mean of its divisors is an integer number (487419660).

Almost surely, 223433504768 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 23433504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35094215520).

23433504768 is an abundant number, since it is smaller than the sum of its proper divisors (46754926272).

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

23433504768 is an frugal number, since it uses more digits than its factorization.

23433504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47124 (or 47092 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 23433504768 in words is "twenty-three billion, four hundred thirty-three million, five hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 5184 6144 6912 7776 9216 10368 13824 15552 18432 20736 27648 31104 41472 47087 55296 62208 82944 94174 124416 141261 165888 188348 248832 282522 376696 423783 497664 565044 753392 847566 1130088 1271349 1506784 1695132 2260176 2542698 3013568 3390264 3814047 4520352 5085396 6027136 6780528 7628094 9040704 10170792 11442141 12054272 13561056 15256188 18081408 20341584 22884282 24108544 27122112 30512376 36162816 40683168 45768564 48217088 54244224 61024752 72325632 81366336 91537128 96434176 108488448 122049504 144651264 162732672 183074256 216976896 244099008 289302528 325465344 366148512 433953792 488198016 650930688 732297024 867907584 976396032 1301861376 1464594048 1952792064 2603722752 2929188096 3905584128 5858376192 7811168256 11716752384 23433504768