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23249274944 = 267296732659
BaseRepresentation
bin10101101001110000…
…111100100001000000
32020000021121112112012
4111221300330201000
5340103303244234
614403000352052
71452065401460
oct255160744100
966007545465
1023249274944
119950678415
12460a175628
13226690982c
1411a7a59ba0
1591114e0ce
hex569c3c840

23249274944 has 112 divisors (see below), whose sum is σ = 54645763200. Its totient is φ = 9602482176.

The previous prime is 23249274899. The next prime is 23249274947. The reversal of 23249274944 is 44947294232.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 23249274892 and 23249274901.

It is not an unprimeable number, because it can be changed into a prime (23249274947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8742287 + ... + 8744945.

It is an arithmetic number, because the mean of its divisors is an integer number (487908600).

Almost surely, 223249274944 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 23249274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27322881600).

23249274944 is an abundant number, since it is smaller than the sum of its proper divisors (31396488256).

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

23249274944 is a wasteful number, since it uses less digits than its factorization.

23249274944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3370 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 50.

The spelling of 23249274944 in words is "twenty-three billion, two hundred forty-nine million, two hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 673 812 928 1346 1624 1856 2659 2692 3248 4711 5318 5384 6496 9422 10636 10768 12992 18613 18844 19517 21272 21536 37226 37688 39034 42544 43072 74452 75376 77111 78068 85088 136619 148904 150752 154222 156136 170176 273238 297808 301504 308444 312272 539777 546476 595616 616888 624544 1079554 1092952 1191232 1233776 1249088 1789507 2159108 2185904 2467552 3579014 4318216 4371808 4935104 7158028 8636432 8743616 12526549 14316056 17272864 25053098 28632112 34545728 50106196 51895703 57264224 100212392 103791406 114528448 200424784 207582812 363269921 400849568 415165624 726539842 801699136 830331248 1453079684 1660662496 2906159368 3321324992 5812318736 11624637472 23249274944