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23740745980 = 22572180113451
BaseRepresentation
bin10110000111000011…
…110000100011111100
32021021112101212001011
4112013003300203330
5342110112332410
614523434325004
71500214003600
oct260703604374
967245355034
1023740745980
11a083039926
124726889764
1323146967b3
141213031500
1593e38018a
hex5870f08fc

23740745980 has 72 divisors (see below), whose sum is σ = 58031766576. Its totient is φ = 8134560000.

The previous prime is 23740745957. The next prime is 23740745989. The reversal of 23740745980 is 8954704732.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23740745989) 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 23 ways as a sum of consecutive naturals, for example, 1758255 + ... + 1771705.

It is an arithmetic number, because the mean of its divisors is an integer number (805996758).

Almost surely, 223740745980 is an apocalyptic number.

23740745980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23740745980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29015883288).

23740745980 is an abundant number, since it is smaller than the sum of its proper divisors (34291020596).

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

23740745980 is a wasteful number, since it uses less digits than its factorization.

23740745980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15275 (or 15266 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 23740745980 in words is "twenty-three billion, seven hundred forty million, seven hundred forty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1801 3602 7204 9005 12607 13451 18010 25214 26902 36020 50428 53804 63035 67255 88249 94157 126070 134510 176498 188314 252140 269020 352996 376628 441245 470785 659099 882490 941570 1318198 1764980 1883140 2636396 3295495 6590990 13181980 24225251 48450502 96901004 121126255 169576757 242252510 339153514 484505020 678307028 847883785 1187037299 1695767570 2374074598 3391535140 4748149196 5935186495 11870372990 23740745980