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23964278416 = 241342292
BaseRepresentation
bin10110010100011000…
…011101111010010000
32021212010000110220021
4112110120131322100
5343034323402131
615001541353224
71505600001631
oct262430357220
967763013807
1023964278416
11a188235081
124789708814
13234baa0000
1412349bb888
15953cd6e11
hex59461de90

23964278416 has 75 divisors (see below), whose sum is σ = 50520495741. Its totient is φ = 11012137344.

The previous prime is 23964278341. The next prime is 23964278483. The reversal of 23964278416 is 61487246932.

The square root of 23964278416 is 154804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 17954928016 + 6009350400 = 133996^2 + 77520^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 104647390 + ... + 104647618.

Almost surely, 223964278416 is an apocalyptic number.

23964278416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

23964278416 is the 154804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23964278416

23964278416 is an abundant number, since it is smaller than the sum of its proper divisors (26556217325).

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

23964278416 is an frugal number, since it uses more digits than its factorization.

23964278416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 244 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The spelling of 23964278416 in words is "twenty-three billion, nine hundred sixty-four million, two hundred seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 229 338 458 676 916 1352 1832 2197 2704 2977 3664 4394 5954 8788 11908 17576 23816 28561 35152 38701 47632 52441 57122 77402 104882 114244 154804 209764 228488 309608 419528 456976 503113 619216 681733 839056 1006226 1363466 2012452 2726932 4024904 5453864 6540469 8049808 8862529 10907728 13080938 17725058 26161876 35450116 52323752 70900232 104647504 115212877 141800464 230425754 460851508 921703016 1497767401 1843406032 2995534802 5991069604 11982139208 23964278416