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23009939968 = 291931411861
BaseRepresentation
bin10101011011011111…
…111101001000000000
32012101121021001122211
4111123133331020000
5334111021034333
614323130511504
71443131156041
oct253337751000
965347231584
1023009939968
119838569514
124561b95594
13222915c5c2
141183d588c8
158ea124ecd
hex55b7fd200

23009939968 has 160 divisors (see below), whose sum is σ = 51201722880. Its totient is φ = 10285056000.

The previous prime is 23009939951. The next prime is 23009940001. The reversal of 23009939968 is 86993990032.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12363358 + ... + 12365218.

It is an arithmetic number, because the mean of its divisors is an integer number (320010768).

Almost surely, 223009939968 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 23009939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25600861440).

23009939968 is an abundant number, since it is smaller than the sum of its proper divisors (28191782912).

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

23009939968 is a wasteful number, since it uses less digits than its factorization.

23009939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 58.

The spelling of 23009939968 in words is "twenty-three billion, nine million, nine hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 41 62 64 76 82 124 128 152 164 248 256 304 328 496 512 589 608 656 779 992 1178 1216 1271 1312 1558 1861 1984 2356 2432 2542 2624 3116 3722 3968 4712 4864 5084 5248 6232 7444 7936 9424 9728 10168 10496 12464 14888 15872 18848 20336 20992 24149 24928 29776 35359 37696 40672 48298 49856 57691 59552 70718 75392 76301 81344 96596 99712 115382 119104 141436 150784 152602 162688 193192 199424 230764 238208 282872 301568 305204 325376 386384 398848 461528 476416 565744 610408 650752 772768 923056 952832 1096129 1131488 1220816 1449719 1545536 1846112 2192258 2262976 2365331 2441632 2899438 3091072 3692224 4384516 4525952 4730662 4883264 5798876 6182144 7384448 8769032 9051904 9461324 9766528 11597752 12364288 14768896 17538064 18103808 18922648 19533056 23195504 29537792 35076128 37845296 39066112 44941289 46391008 70152256 75690592 89882578 92782016 140304512 151381184 179765156 185564032 280609024 302762368 359530312 371128064 561218048 605524736 719060624 742256128 1211049472 1438121248 2876242496 5752484992 11504969984 23009939968