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10846852464 = 243725478431
BaseRepresentation
bin10100001101000010…
…11101010101110000
31000222221021012022110
422012201131111300
5134203243234324
64552153405320
7532536503400
oct120641352560
930887235273
1010846852464
114666846888
122128709840
13103b295bc6
1474c806800
154373dc329
hex28685d570

10846852464 has 120 divisors (see below), whose sum is σ = 32659362048. Its totient is φ = 3093068160.

The previous prime is 10846852453. The next prime is 10846852517. The reversal of 10846852464 is 46425864801.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1282329 + ... + 1290759.

Almost surely, 210846852464 is an apocalyptic number.

10846852464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10846852464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329681024).

10846852464 is an abundant number, since it is smaller than the sum of its proper divisors (21812509584).

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

10846852464 is a wasteful number, since it uses less digits than its factorization.

10846852464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 10846852464 in words is "ten billion, eight hundred forty-six million, eight hundred fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 547 588 784 1094 1176 1641 2188 2352 3282 3829 4376 6564 7658 8431 8752 11487 13128 15316 16862 22974 25293 26256 26803 30632 33724 45948 50586 53606 59017 61264 67448 80409 91896 101172 107212 118034 134896 160818 177051 183792 202344 214424 236068 321636 354102 404688 413119 428848 472136 643272 708204 826238 944272 1239357 1286544 1416408 1652476 2478714 2832816 3304952 4611757 4957428 6609904 9223514 9914856 13835271 18447028 19829712 27670542 32282299 36894056 55341084 64564598 73788112 96846897 110682168 129129196 193693794 221364336 225976093 258258392 387387588 451952186 516516784 677928279 774775176 903904372 1355856558 1549550352 1807808744 2711713116 3615617488 5423426232 10846852464