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23193796608 = 2143417477
BaseRepresentation
bin10101100110011101…
…010100000000000000
32012212102012221120000
4111212131110000000
5340000102442413
614353255320000
71450523006163
oct254635240000
965772187500
1023193796608
119922325754
1245b3680000
132258283a08
1411a0537ada
1590b341073
hex566754000

23193796608 has 150 divisors (see below), whose sum is σ = 69296896746. Its totient is φ = 7730823168.

The previous prime is 23193796601. The next prime is 23193796649. The reversal of 23193796608 is 80669739132.

23193796608 is a `hidden beast` number, since 23 + 1 + 9 + 3 + 7 + 9 + 6 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14911340544 + 8282456064 = 122112^2 + 91008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23193796601) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1318366 + ... + 1335842.

Almost surely, 223193796608 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 23193796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34648448373).

23193796608 is an abundant number, since it is smaller than the sum of its proper divisors (46103100138).

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

23193796608 is an frugal number, since it uses more digits than its factorization.

23193796608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17517 (or 17482 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 23193796608 in words is "twenty-three billion, one hundred ninety-three million, seven hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 16384 17477 18432 20736 24576 27648 34954 36864 41472 49152 52431 55296 69908 73728 82944 104862 110592 139816 147456 157293 165888 209724 221184 279632 314586 331776 419448 442368 471879 559264 629172 663552 838896 943758 1118528 1258344 1327104 1415637 1677792 1887516 2237056 2516688 2831274 3355584 3775032 4474112 5033376 5662548 6711168 7550064 8948224 10066752 11325096 13422336 15100128 17896448 20133504 22650192 26844672 30200256 35792896 40267008 45300384 53689344 60400512 71585792 80534016 90600768 107378688 120801024 143171584 161068032 181201536 214757376 241602048 286343168 322136064 362403072 429514752 483204096 644272128 724806144 859029504 966408192 1288544256 1449612288 1932816384 2577088512 2899224576 3865632768 5798449152 7731265536 11596898304 23193796608