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46479097083364 = 2211243127192
BaseRepresentation
bin10101001000101110000100…
…00100100011010111100100
320002120100200012011002102121
422210113002010203113210
522043003142323131424
6242504111420315324
712535001232423421
oct1244270204432744
9202510605132377
1046479097083364
111389a746661300
125267b636a2b44
131cc1c632c25aa
14b6985932ad48
15559064665ee4
hex2a45c21235e4

46479097083364 has 81 divisors (see below), whose sum is σ = 89737766521123. Its totient is φ = 21048528569200.

The previous prime is 46479097083343. The next prime is 46479097083373. The reversal of 46479097083364 is 46338079097464.

The square root of 46479097083364 is 6817558.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46479097083293 and 46479097083302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64644084597 + ... + 64644085315.

Almost surely, 246479097083364 is an apocalyptic number.

46479097083364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

46479097083364 is the 6817558-th square number.

It is an amenable number.

46479097083364 is a deficient number, since it is larger than the sum of its proper divisors (43258669437759).

46479097083364 is an frugal number, since it uses more digits than its factorization.

46479097083364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 70.

The spelling of 46479097083364 in words is "forty-six trillion, four hundred seventy-nine billion, ninety-seven million, eighty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 44 121 242 431 484 719 862 1438 1724 2876 4741 7909 9482 15818 18964 31636 52151 86999 104302 173998 185761 208604 309889 347996 371522 516961 619778 743044 1033922 1239556 2043371 2067844 3408779 4086742 5686571 6817558 8173484 11373142 13635116 22477081 22746284 37496569 44954162 62552281 74993138 89908324 125104562 133562159 149986276 222810191 250209124 267124318 445620382 534248636 891240764 1469183749 2450912101 2938367498 4901824202 5876734996 9803648404 16161021239 26960033111 32322042478 53920066222 64644084956 96031192321 107840132444 192062384642 384124769284 1056343115531 2112686231062 4225372462124 11619774270841 23239548541682 46479097083364