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23433680376 = 23342910131231
BaseRepresentation
bin10101110100110000…
…011001010111111000
32020111010121022020000
4111310300121113320
5340443010233001
614433145033000
71456464665601
oct256460312770
966433538200
1023433680376
119a357799a7
12465ba85760
132295b93982
1411c433cda8
15922427a86
hex574c195f8

23433680376 has 160 divisors (see below), whose sum is σ = 68021553600. Its totient is φ = 7528308480.

The previous prime is 23433680359. The next prime is 23433680407. The reversal of 23433680376 is 67308633432.

23433680376 is a `hidden beast` number, since 234 + 336 + 80 + 3 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19035681 + ... + 19036911.

It is an arithmetic number, because the mean of its divisors is an integer number (425134710).

Almost surely, 223433680376 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 23433680376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34010776800).

23433680376 is an abundant number, since it is smaller than the sum of its proper divisors (44587873224).

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

23433680376 is a wasteful number, since it uses less digits than its factorization.

23433680376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 23433680376 in words is "twenty-three billion, four hundred thirty-three million, six hundred eighty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1013 1044 1231 1566 2026 2088 2349 2462 3039 3132 3693 4052 4698 4924 6078 6264 7386 8104 9117 9396 9848 11079 12156 14772 18234 18792 22158 24312 27351 29377 29544 33237 35699 36468 44316 54702 58754 66474 71398 72936 82053 88131 88632 99711 107097 109404 117508 132948 142796 164106 176262 199422 214194 218808 235016 264393 265896 285592 321291 328212 352524 398844 428388 528786 642582 656424 705048 793179 797688 856776 963873 1057572 1247003 1285164 1586358 1927746 2115144 2379537 2494006 2570328 2891619 3172716 3741009 3855492 4759074 4988012 5783238 6345432 7482018 7710984 9518148 9976024 11223027 11566476 14964036 19036296 22446054 23132952 29928072 33669081 36163087 44892108 67338162 72326174 89784216 101007243 108489261 134676324 144652348 202014486 216978522 269352648 289304696 325467783 404028972 433957044 650935566 808057944 867914088 976403349 1301871132 1952806698 2603742264 2929210047 3905613396 5858420094 7811226792 11716840188 23433680376