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10466642016 = 253323526703
BaseRepresentation
bin10011011111101110…
…00100100001100000
31000000102211111122000
421233313010201200
5132413430021031
64450332244000
7520241663205
oct115767044140
930012744560
1010466642016
114491168076
122041310600
13caa592ccc
14714113cac
15413d373e6
hex26fdc4860

10466642016 has 96 divisors (see below), whose sum is σ = 31855057920. Its totient is φ = 3337183872.

The previous prime is 10466641973. The next prime is 10466642027. The reversal of 10466642016 is 61024666401.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent 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, 243480 + ... + 283223.

It is an arithmetic number, because the mean of its divisors is an integer number (331823520).

Almost surely, 210466642016 is an apocalyptic number.

10466642016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10466642016 is an abundant number, since it is smaller than the sum of its proper divisors (21388415904).

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

10466642016 is a wasteful number, since it uses less digits than its factorization.

10466642016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526745 (or 526731 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10466642016 in words is "ten billion, four hundred sixty-six million, six hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 526703 1053406 1580109 2106812 3160218 4213624 4740327 6320436 8427248 9480654 12114169 12640872 14220981 16854496 18961308 24228338 25281744 28441962 36342507 37922616 48456676 50563488 56883924 72685014 75845232 96913352 109027521 113767848 145370028 151690464 193826704 218055042 227535696 290740056 327082563 387653408 436110084 455071392 581480112 654165126 872220168 1162960224 1308330252 1744440336 2616660504 3488880672 5233321008 10466642016