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1649873456676 = 223297222072
BaseRepresentation
bin11000000000100100000…
…111110000111000100100
312211201121111222120210100
4120000210013300320210
5204012420101103201
63301535202024100
7230125254663564
oct30004407607044
95751544876710
101649873456676
11586786610685
1222790b348030
13bc7756ba753
1459bd62bada4
152cdb4cce886
hex180241f0e24

1649873456676 has 81 divisors (see below), whose sum is σ = 4215861913809. Its totient is φ = 544041531648.

The previous prime is 1649873456587. The next prime is 1649873456677. The reversal of 1649873456676 is 6766543789461.

The square root of 1649873456676 is 1284474.

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

1649873456676 is a `hidden beast` number, since 1 + 6 + 49 + 8 + 73 + 456 + 67 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 740856132900 + 909017323776 = 860730^2 + 953424^2 .

It is not an unprimeable number, because it can be changed into a prime (1649873456677) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 747562765 + ... + 747564971.

Almost surely, 21649873456676 is an apocalyptic number.

1649873456676 is the 1284474-th square number.

It is an amenable number.

1649873456676 is an abundant number, since it is smaller than the sum of its proper divisors (2565988457133).

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

1649873456676 is an frugal number, since it uses more digits than its factorization.

1649873456676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 2309 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 1649873456676 in words is "one trillion, six hundred forty-nine billion, eight hundred seventy-three million, four hundred fifty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 2207 3492 4414 6621 8828 9409 13242 18818 19863 26484 28227 37636 39726 56454 79452 84681 112908 169362 214079 338724 428158 642237 856316 1284474 1926711 2568948 3853422 4870849 7706844 9741698 14612547 19483396 20765663 29225094 41531326 43837641 58450188 62296989 83062652 87675282 124593978 175350564 186890967 249187956 373781934 472472353 747563868 944944706 1417417059 1889889412 2834834118 4252251177 5669668236 8504502354 17009004708 45829818241 91659636482 137489454723 183319272964 274978909446 412468364169 549957818892 824936728338 1649873456676