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23137645740 = 22351135057039
BaseRepresentation
bin10101100011000111…
…000111010010101100
32012201111120012001020
4111203013013102230
5334341214130430
614343532014140
71446241513056
oct254307072254
965644505036
1023137645740
1198a3663780
124598901350
132249753a51
141196cbc8d6
1590644db10
hex5631c74ac

23137645740 has 48 divisors (see below), whose sum is σ = 70674992640. Its totient is φ = 5609126080.

The previous prime is 23137645703. The next prime is 23137645747. The reversal of 23137645740 is 4754673132.

It is a super-3 number, since 3×231376457403 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23137645692 and 23137645701.

It is not an unprimeable number, because it can be changed into a prime (23137645747) 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 15 ways as a sum of consecutive naturals, for example, 17527860 + ... + 17529179.

It is an arithmetic number, because the mean of its divisors is an integer number (1472395680).

Almost surely, 223137645740 is an apocalyptic number.

23137645740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23137645740 is an abundant number, since it is smaller than the sum of its proper divisors (47537346900).

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

23137645740 is a wasteful number, since it uses less digits than its factorization.

23137645740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35057062 (or 35057060 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 23137645740 in words is "twenty-three billion, one hundred thirty-seven million, six hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 35057039 70114078 105171117 140228156 175285195 210342234 350570390 385627429 420684468 525855585 701140780 771254858 1051711170 1156882287 1542509716 1928137145 2103422340 2313764574 3856274290 4627529148 5784411435 7712548580 11568822870 23137645740