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46109831824 = 247276692
BaseRepresentation
bin101010111100010111…
…000011001010010000
311102000110210011010001
4222330113003022100
51223413104104244
633103233415344
73221434050400
oct527427031220
9142013704101
1046109831824
1118611886131
128b2a10a554
13446ab24c74
142335c0a800
1512ed0b75d4
hexabc5c3290

46109831824 has 45 divisors (see below), whose sum is σ = 103937115177. Its totient is φ = 19758779712.

The previous prime is 46109831783. The next prime is 46109831881. The reversal of 46109831824 is 42813890164.

The square root of 46109831824 is 214732.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43736193424 + 2373638400 = 209132^2 + 48720^2 .

It is a super-2 number, since 2×461098318242 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6008662 + ... + 6016330.

Almost surely, 246109831824 is an apocalyptic number.

46109831824 is the 214732-nd square number.

It is an amenable number.

46109831824 is an abundant number, since it is smaller than the sum of its proper divisors (57827283353).

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

46109831824 is an frugal number, since it uses more digits than its factorization.

46109831824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15360 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 46109831824 in words is "forty-six billion, one hundred nine million, eight hundred thirty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 7669 15338 30676 53683 61352 107366 122704 214732 375781 429464 751562 858928 1503124 3006248 6012496 58813561 117627122 235254244 411694927 470508488 823389854 941016976 1646779708 2881864489 3293559416 5763728978 6587118832 11527457956 23054915912 46109831824