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23839051201 = 742321372
BaseRepresentation
bin10110001100111010…
…110000110111000001
32021112101101021110021
4112030322300313001
5342310244114301
614541305333441
71502516410000
oct261472606701
967471337407
1023839051201
11a123583009
124753797281
13232bb65a74
141222100c37
15947cec8a1
hex58ceb0dc1

23839051201 has 45 divisors (see below), whose sum is σ = 29286054371. Its totient is φ = 19402395936.

The previous prime is 23839051199. The next prime is 23839051217. The reversal of 23839051201 is 10215093832.

The square root of 23839051201 is 154399.

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

It can be written as a sum of positive squares in only one way, i.e., 14003172225 + 9835878976 = 118335^2 + 99176^2 .

It is not a de Polignac number, because 23839051201 - 21 = 23839051199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23839051231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 174007605 + ... + 174007741.

Almost surely, 223839051201 is an apocalyptic number.

23839051201 is the 154399-th square number.

23839051201 is the 77200-th centered octagonal number.

It is an amenable number.

23839051201 is a deficient number, since it is larger than the sum of its proper divisors (5447003170).

23839051201 is an frugal number, since it uses more digits than its factorization.

23839051201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 23839051201 in words is "twenty-three billion, eight hundred thirty-nine million, fifty-one thousand, two hundred one".

Divisors: 1 7 23 49 137 161 343 529 959 1127 2401 3151 3703 6713 7889 18769 22057 25921 46991 55223 72473 131383 154399 181447 328937 431687 507311 919681 1080793 1270129 3021809 3551177 6437767 7565551 9928801 21152663 24858239 45064369 69501607 148068641 174007673 486511249 1036480487 3405578743 23839051201