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46825842852 = 22337915833467
BaseRepresentation
bin101011100111000010…
…011010100010100100
311110212101002021121000
4223213002122202210
51231344403432402
633302252153300
73245250045165
oct534702324244
9143771067530
1046825842852
1118949a70888
1290a9a68830
13455327bc29
1423a2d5176c
151340d9dc1c
hexae709a8a4

46825842852 has 96 divisors (see below), whose sum is σ = 123050188800. Its totient is φ = 15396859296.

The previous prime is 46825842851. The next prime is 46825842937. The reversal of 46825842852 is 25824852864.

46825842852 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 584 + 2 + 8 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46825842851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13504423 + ... + 13507889.

It is an arithmetic number, because the mean of its divisors is an integer number (1281772800).

Almost surely, 246825842852 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 46825842852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61525094400).

46825842852 is an abundant number, since it is smaller than the sum of its proper divisors (76224345948).

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

46825842852 is a wasteful number, since it uses less digits than its factorization.

46825842852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5134 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 54.

The spelling of 46825842852 in words is "forty-six billion, eight hundred twenty-five million, eight hundred forty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 1583 2133 2844 3166 3467 4266 4749 6332 6934 8532 9498 10401 13868 14247 18996 20802 28494 31203 41604 42741 56988 62406 85482 93609 124812 125057 170964 187218 250114 273893 374436 375171 500228 547786 750342 821679 1095572 1125513 1500684 1643358 2251026 2465037 3286716 3376539 4502052 4930074 5488261 6753078 7395111 9860148 10976522 13506156 14790222 16464783 21953044 29580444 32929566 49394349 65859132 98788698 148183047 197577396 296366094 433572619 592732188 867145238 1300717857 1734290476 2601435714 3902153571 5202871428 7804307142 11706460713 15608614284 23412921426 46825842852