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23333104128 = 293194717011
BaseRepresentation
bin10101101110110000…
…101110101000000000
32020020010100111112210
4111232300232220000
5340241233313003
614415153222120
71454134053435
oct255660565000
966203314483
1023333104128
119993a24534
124632261940
13227b0aaab9
1411b4c3bb8c
159186ac503
hex56ec2ea00

23333104128 has 160 divisors (see below), whose sum is σ = 66828579840. Its totient is φ = 7211151360.

The previous prime is 23333104117. The next prime is 23333104139. The reversal of 23333104128 is 82140133332.

It is an interprime number because it is at equal distance from previous prime (23333104117) and next prime (23333104139).

It is a junction number, because it is equal to n+sod(n) for n = 23333104095 and 23333104104.

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, 1363143 + ... + 1380153.

It is an arithmetic number, because the mean of its divisors is an integer number (417678624).

Almost surely, 223333104128 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 23333104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33414289920).

23333104128 is an abundant number, since it is smaller than the sum of its proper divisors (43495475712).

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

23333104128 is a wasteful number, since it uses less digits than its factorization.

23333104128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17098 (or 17082 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 23333104128 in words is "twenty-three billion, three hundred thirty-three million, one hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 76 94 96 114 128 141 152 188 192 228 256 282 304 376 384 456 512 564 608 752 768 893 912 1128 1216 1504 1536 1786 1824 2256 2432 2679 3008 3572 3648 4512 4864 5358 6016 7144 7296 9024 9728 10716 12032 14288 14592 17011 18048 21432 24064 28576 29184 34022 36096 42864 51033 57152 68044 72192 85728 102066 114304 136088 171456 204132 228608 272176 323209 342912 408264 457216 544352 646418 685824 799517 816528 969627 1088704 1292836 1371648 1599034 1633056 1939254 2177408 2398551 2585672 3198068 3266112 3878508 4354816 4797102 5171344 6396136 6532224 7757016 8709632 9594204 10342688 12792272 13064448 15190823 15514032 19188408 20685376 25584544 26128896 30381646 31028064 38376816 41370752 45572469 51169088 60763292 62056128 76753632 82741504 91144938 102338176 121526584 124112256 153507264 165483008 182289876 204676352 243053168 248224512 307014528 364579752 409352704 486106336 496449024 614029056 729159504 972212672 1228058112 1458319008 1944425344 2916638016 3888850688 5833276032 7777701376 11666552064 23333104128