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23033479128 = 23311476432887
BaseRepresentation
bin10101011100111001…
…101111111111011000
32012110020112222022120
4111130321233333120
5334133032313003
614325331221240
71443535225242
oct253471577730
965406488276
1023033479128
11984a886870
124569a47820
132230cb18ba
141187125092
158ec224853
hex55ce6ffd8

23033479128 has 128 divisors (see below), whose sum is σ = 64277176320. Its totient is φ = 6818348160.

The previous prime is 23033479121. The next prime is 23033479153. The reversal of 23033479128 is 82197433032.

It is a self number, because there is not a number n which added to its sum of digits gives 23033479128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23033479121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7976901 + ... + 7979787.

It is an arithmetic number, because the mean of its divisors is an integer number (502165440).

Almost surely, 223033479128 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 23033479128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32138588160).

23033479128 is an abundant number, since it is smaller than the sum of its proper divisors (41243697192).

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

23033479128 is a wasteful number, since it uses less digits than its factorization.

23033479128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 23033479128 in words is "twenty-three billion, thirty-three million, four hundred seventy-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 643 1034 1128 1286 1551 1929 2068 2572 2887 3102 3858 4136 5144 5774 6204 7073 7716 8661 11548 12408 14146 15432 17322 21219 23096 28292 30221 31757 34644 42438 56584 60442 63514 69288 84876 90663 95271 120884 127028 135689 169752 181326 190542 241768 254056 271378 332431 362652 381084 407067 542756 664862 725304 762168 814134 997293 1085512 1329724 1492579 1628268 1856341 1994586 2659448 2985158 3256536 3712682 3989172 4477737 5569023 5970316 7425364 7978344 8955474 11138046 11940632 14850728 17910948 20419751 22276092 35821896 40839502 44552184 61259253 81679004 87248027 122518506 163358008 174496054 245037012 261744081 348992108 490074024 523488162 697984216 959728297 1046976324 1919456594 2093952648 2879184891 3838913188 5758369782 7677826376 11516739564 23033479128