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23160948768 = 2532478272069
BaseRepresentation
bin10101100100100000…
…000000100000100000
32012210010102002210100
4111210200000200200
5334413200330033
614350123302400
71446643546656
oct254440004040
965703362710
1023160948768
11990582a681
1245a467aa00
132251522719
14119a026dd6
15908503513
hex564800820

23160948768 has 144 divisors (see below), whose sum is σ = 67379195520. Its totient is φ = 7543269888.

The previous prime is 23160948751. The next prime is 23160948781. The reversal of 23160948768 is 86784906132.

23160948768 is a `hidden beast` number, since 23 + 1 + 609 + 4 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11193238 + ... + 11195306.

It is an arithmetic number, because the mean of its divisors is an integer number (467911080).

Almost surely, 223160948768 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 23160948768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33689597760).

23160948768 is an abundant number, since it is smaller than the sum of its proper divisors (44218246752).

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

23160948768 is a wasteful number, since it uses less digits than its factorization.

23160948768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 23160948768 in words is "twenty-three billion, one hundred sixty million, nine hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 827 846 1128 1504 1654 1692 2069 2256 2481 3308 3384 4138 4512 4962 6207 6616 6768 7443 8276 9924 12414 13232 13536 14886 16552 18621 19848 24828 26464 29772 33104 37242 38869 39696 49656 59544 66208 74484 77738 79392 97243 99312 116607 119088 148968 155476 194486 198624 233214 238176 291729 297936 310952 349821 388972 466428 583458 595872 621904 699642 777944 875187 932856 1166916 1243808 1399284 1555888 1711063 1750374 1865712 2333832 2798568 3111776 3422126 3500748 3731424 4667664 5133189 5597136 6844252 7001496 9335328 10266378 11194272 13688504 14002992 15399567 20532756 27377008 28005984 30799134 41065512 54754016 61598268 80419961 82131024 123196536 160839922 164262048 241259883 246393072 321679844 482519766 492786144 643359688 723779649 965039532 1286719376 1447559298 1930079064 2573438752 2895118596 3860158128 5790237192 7720316256 11580474384 23160948768