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46813440080340 = 22325614263519133
BaseRepresentation
bin10101010010011100110100…
…11101110111100111010100
320010202022200010111010101200
422221032122131313213110
522113442411130032330
6243321444131152500
712601105454130513
oct1251163235674724
9203668603433350
1046813440080340
1113a0951755752a
125300912445730
1320176471ab48b
14b7bad55d467a
15562ad1d77a60
hex2a939a7779d4

46813440080340 has 72 divisors (see below), whose sum is σ = 144328649724168. Its totient is φ = 12278935100160.

The previous prime is 46813440080237. The next prime is 46813440080347. The reversal of 46813440080340 is 4308004431864.

46813440080340 is a `hidden beast` number, since 4 + 6 + 8 + 134 + 400 + 80 + 34 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4248932954436 + 42564507125904 = 2061294^2 + 6524148^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46813440080347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2131748587 + ... + 2131770546.

Almost surely, 246813440080340 is an apocalyptic number.

It is an amenable number.

46813440080340 is an abundant number, since it is smaller than the sum of its proper divisors (97515209643828).

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

46813440080340 is a wasteful number, since it uses less digits than its factorization.

46813440080340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263519209 (or 4263519204 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 46813440080340 in words is "forty-six trillion, eight hundred thirteen billion, four hundred forty million, eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 4263519133 8527038266 12790557399 17054076532 21317595665 25581114798 38371672197 42635191330 51162229596 63952786995 76743344394 85270382660 127905573990 153486688788 191858360985 255811147980 260074667113 383716721970 520149334226 767433443940 780224001339 1040298668452 1300373335565 1560448002678 2340672004017 2600746671130 3120896005356 3901120006695 4681344008034 5201493342260 7802240013390 9362688016068 11703360020085 15604480026780 23406720040170 46813440080340