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23438374764 = 223712719111503
BaseRepresentation
bin10101110101000010…
…010011011101101100
32020111110102210201020
4111311002103131230
5341000210443024
614433433414140
71456552620060
oct256502233554
966443383636
1023438374764
119a38395962
12466156a350
132296b4860c
1411c4c01aa0
15922a53979
hex57509376c

23438374764 has 96 divisors (see below), whose sum is σ = 63329796096. Its totient is φ = 6608589120.

The previous prime is 23438374741. The next prime is 23438374777. The reversal of 23438374764 is 46747383432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2031837 + ... + 2043339.

It is an arithmetic number, because the mean of its divisors is an integer number (659685376).

Almost surely, 223438374764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23438374764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31664898048).

23438374764 is an abundant number, since it is smaller than the sum of its proper divisors (39891421332).

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

23438374764 is a wasteful number, since it uses less digits than its factorization.

23438374764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11835 (or 11833 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 51.

The spelling of 23438374764 in words is "twenty-three billion, four hundred thirty-eight million, three hundred seventy-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 191 254 381 382 508 573 762 764 889 1146 1337 1524 1778 2292 2667 2674 3556 4011 5334 5348 8022 10668 11503 16044 23006 24257 34509 46012 48514 69018 72771 80521 97028 138036 145542 161042 169799 241563 291084 322084 339598 483126 509397 679196 966252 1018794 1460881 2037588 2197073 2921762 4382643 4394146 5843524 6591219 8765286 8788292 10226167 13182438 15379511 17530572 20452334 26364876 30678501 30759022 40904668 46138533 61357002 61518044 92277066 122714004 184554132 279028271 558056542 837084813 1116113084 1674169626 1953197897 3348339252 3906395794 5859593691 7812791588 11719187382 23438374764