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23379461370 = 2325151211393
BaseRepresentation
bin10101110001100001…
…100100010011111010
32020100100120200201200
4111301201210103322
5340340120230440
614423530555030
71455236066646
oct256141442372
966310520650
1023379461370
119a08107401
124645898a76
13228788c115
1411bb067c26
1591c7b7c30
hex5718644fa

23379461370 has 72 divisors (see below), whose sum is σ = 61197196788. Its totient is φ = 6192691200.

The previous prime is 23379461341. The next prime is 23379461377. The reversal of 23379461370 is 7316497332.

It is a happy number.

23379461370 is a `hidden beast` number, since 23 + 3 + 7 + 9 + 4 + 613 + 7 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23305380921 + 74080449 = 152661^2 + 8607^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23379461377) 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 35 ways as a sum of consecutive naturals, for example, 2046394 + ... + 2057786.

Almost surely, 223379461370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23379461370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30598598394).

23379461370 is an abundant number, since it is smaller than the sum of its proper divisors (37817735418).

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

23379461370 is a wasteful number, since it uses less digits than its factorization.

23379461370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11708 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 23379461370 in words is "twenty-three billion, three hundred seventy-nine million, four hundred sixty-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 302 453 755 906 1359 1510 2265 2718 4530 6795 11393 13590 22786 22801 34179 45602 56965 68358 68403 102537 113930 114005 136806 170895 205074 205209 228010 341790 342015 410418 512685 684030 1025370 1026045 1720343 2052090 3440686 5161029 8601715 10322058 15483087 17203430 25805145 30966174 51610290 77415435 154830870 259771793 519543586 779315379 1298858965 1558630758 2337946137 2597717930 3896576895 4675892274 7793153790 11689730685 23379461370