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23111383248 = 24321923513593
BaseRepresentation
bin10101100001100010…
…111011100011010000
32012122200010220200100
4111201202323203100
5334313003230443
614341153052400
71445502342042
oct254142734320
965580126610
1023111383248
11988a856338
12458bb57100
13224418a005
141193603a92
15903eb23d3
hex5618bb8d0

23111383248 has 120 divisors (see below), whose sum is σ = 68131889280. Its totient is φ = 7293196800.

The previous prime is 23111383231. The next prime is 23111383271. The reversal of 23111383248 is 84238311132.

23111383248 is a `hidden beast` number, since 2 + 31 + 1 + 1 + 383 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 6430540 + ... + 6434132.

It is an arithmetic number, because the mean of its divisors is an integer number (567765744).

Almost surely, 223111383248 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 23111383248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34065944640).

23111383248 is an abundant number, since it is smaller than the sum of its proper divisors (45020506032).

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

23111383248 is a wasteful number, since it uses less digits than its factorization.

23111383248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5977 (or 5968 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 23111383248 in words is "twenty-three billion, one hundred eleven million, three hundred eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2351 2736 3593 4702 7053 7186 9404 10779 14106 14372 18808 21159 21558 28212 28744 32337 37616 42318 43116 44669 56424 57488 64674 68267 84636 86232 89338 112848 129348 134007 136534 169272 172464 178676 204801 258696 268014 273068 338544 357352 402021 409602 517392 536028 546136 614403 714704 804042 819204 1072056 1092272 1228806 1608084 1638408 2144112 2457612 3216168 3276816 4915224 6432336 8447143 9830448 16894286 25341429 33788572 50682858 67577144 76024287 101365716 135154288 152048574 160495717 202731432 304097148 320991434 405462864 481487151 608194296 641982868 962974302 1216388592 1283965736 1444461453 1925948604 2567931472 2888922906 3851897208 5777845812 7703794416 11555691624 23111383248