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23379270960 = 2435531919623
BaseRepresentation
bin10101110001100000…
…110101110100110000
32020100100020000112110
4111301200311310300
5340340043132320
614423522525320
71455234344553
oct256140656460
966310200473
1023379270960
119a07a97341
124645806840
132287823556
1411bb01869a
1591c77b5e0
hex571835d30

23379270960 has 160 divisors (see below), whose sum is σ = 74237534208. Its totient is φ = 6084183040.

The previous prime is 23379270947. The next prime is 23379271001. The reversal of 23379270960 is 6907297332.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2424709 + ... + 2434331.

Almost surely, 223379270960 is an apocalyptic number.

23379270960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23379270960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37118767104).

23379270960 is an abundant number, since it is smaller than the sum of its proper divisors (50858263248).

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

23379270960 is a wasteful number, since it uses less digits than its factorization.

23379270960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9883 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The spelling of 23379270960 in words is "twenty-three billion, three hundred seventy-nine million, two hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 191 212 240 265 318 382 424 530 573 636 764 795 848 955 1060 1146 1272 1528 1590 1910 2120 2292 2544 2865 3056 3180 3820 4240 4584 5730 6360 7640 9168 9623 10123 11460 12720 15280 19246 20246 22920 28869 30369 38492 40492 45840 48115 50615 57738 60738 76984 80984 96230 101230 115476 121476 144345 151845 153968 161968 192460 202460 230952 242952 288690 303690 384920 404920 461904 485904 510019 577380 607380 769840 809840 1020038 1154760 1214760 1530057 1837993 2040076 2309520 2429520 2550095 3060114 3675986 4080152 5100190 5513979 6120228 7351972 7650285 8160304 9189965 10200380 11027958 12240456 14703944 15300570 18379930 20400760 22055916 24480912 27569895 29407888 30601140 36759860 40801520 44111832 55139790 61202280 73519720 88223664 97413629 110279580 122404560 147039440 194827258 220559160 292240887 389654516 441118320 487068145 584481774 779309032 974136290 1168963548 1461204435 1558618064 1948272580 2337927096 2922408870 3896545160 4675854192 5844817740 7793090320 11689635480 23379270960