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23678428501 = 71319109125641
BaseRepresentation
bin10110000011010110…
…000010010101010101
32021010012010210112101
4112003112002111111
5341443134203001
614513330522101
71465526215150
oct260326022525
967105123471
1023678428501
11a050945882
124709a36331
1323047b7a50
141208a4cc97
15938b70a01
hex583582555

23678428501 has 32 divisors (see below), whose sum is σ = 30958188800. Its totient is φ = 17585579520.

The previous prime is 23678428483. The next prime is 23678428511. The reversal of 23678428501 is 10582487632.

It is a 5-Lehmer number, since φ(23678428501) divides (23678428501-1)5.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23678428501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23678428511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125641 + ... + 251281.

It is an arithmetic number, because the mean of its divisors is an integer number (967443400).

It is a Poulet number, since it divides 223678428500-1.

Almost surely, 223678428501 is an apocalyptic number.

23678428501 is the 125641-st pentagonal number.

It is an amenable number.

23678428501 is a deficient number, since it is larger than the sum of its proper divisors (7279760299).

23678428501 is a wasteful number, since it uses less digits than its factorization.

23678428501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125789.

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 23678428501 in words is "twenty-three billion, six hundred seventy-eight million, four hundred twenty-eight thousand, five hundred one".

Divisors: 1 7 13 19 91 109 133 247 763 1417 1729 2071 9919 14497 26923 125641 188461 879487 1633333 2387179 11433331 13694869 16710253 31033327 95864083 178033297 217233289 260202511 1246233079 1821417577 3382632643 23678428501