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1640361546756 = 22322134612
BaseRepresentation
bin10111110111101101001…
…010101101010000000100
312210211001121122111101100
4113313231022231100010
5203333430023444011
63253323252500100
7226340455043022
oct27675512552004
95724047574340
101640361546756
115827453689a9
12225ab591a630
13bb8bab7539a
1459572ccd712
152ca09bd5d56
hex17ded2ad404

1640361546756 has 27 divisors (see below), whose sum is σ = 4146488890453. Its totient is φ = 546784620720.

The previous prime is 1640361546749. The next prime is 1640361546763. The reversal of 1640361546756 is 6576451630461.

The square root of 1640361546756 is 1280766.

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

1640361546756 is a `hidden beast` number, since 1 + 6 + 40 + 3 + 6 + 1 + 546 + 7 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (1640361546749) and next prime (1640361546763).

It can be written as a sum of positive squares in only one way, i.e., 879907785156 + 760453761600 = 938034^2 + 872040^2 .

It is a Duffinian number.

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, 7577866 + ... + 7791326.

Almost surely, 21640361546756 is an apocalyptic number.

1640361546756 is the 1280766-th square number.

It is an amenable number.

1640361546756 is an abundant number, since it is smaller than the sum of its proper divisors (2506127343697).

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

1640361546756 is an frugal number, since it uses more digits than its factorization.

1640361546756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426932 (or 213466 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 1640361546756 in words is "one trillion, six hundred forty billion, three hundred sixty-one million, five hundred forty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 213461 426922 640383 853844 1280766 1921149 2561532 3842298 7684596 45565598521 91131197042 136696795563 182262394084 273393591126 410090386689 546787182252 820180773378 1640361546756