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23848103240 = 23513303715101
BaseRepresentation
bin10110001101011101…
…010010110101001000
32021120000102011111222
4112031131102311020
5342320103300430
614542231341212
71502656350533
oct261535226510
967500364458
1023848103240
11a1286a5a35
124756821808
1323309b4cc0
1412233b9a1a
159489d99e5
hex58d752d48

23848103240 has 64 divisors (see below), whose sum is σ = 57808643760. Its totient is φ = 8801971200.

The previous prime is 23848103239. The next prime is 23848103261. The reversal of 23848103240 is 4230184832.

It can be written as a sum of positive squares in 8 ways, for example, as 5431984804 + 18416118436 = 73702^2 + 135706^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23848103240.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1571690 + ... + 1586790.

Almost surely, 223848103240 is an apocalyptic number.

23848103240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23848103240 is an abundant number, since it is smaller than the sum of its proper divisors (33960540520).

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

23848103240 is a wasteful number, since it uses less digits than its factorization.

23848103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18162 (or 18158 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 23848103240 in words is "twenty-three billion, eight hundred forty-eight million, one hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 3037 6074 12148 15101 15185 24296 30202 30370 39481 60404 60740 75505 78962 120808 121480 151010 157924 196313 197405 302020 315848 392626 394810 604040 785252 789620 981565 1570504 1579240 1963130 3926260 7852520 45861737 91723474 183446948 229308685 366893896 458617370 596202581 917234740 1192405162 1834469480 2384810324 2981012905 4769620648 5962025810 11924051620 23848103240