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1992916653849 = 3211438892
BaseRepresentation
bin11101000000000011000…
…101101101011100011001
321001112001210021120202100
4131000003011231130121
5230122443130410344
64123311104154013
7263661222025062
oct35000305553431
97045053246670
101992916653849
116a9211550000
122822a7908909
13115c14bc8ca4
146c659c39569
1536c911ed569
hex1d00316d719

1992916653849 has 45 divisors (see below), whose sum is σ = 3167317896015. Its totient is φ = 1207517699520.

The previous prime is 1992916653821. The next prime is 1992916653877. The reversal of 1992916653849 is 9483566192991.

The square root of 1992916653849 is 1411707.

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

1992916653849 is a `hidden beast` number, since 1 + 9 + 9 + 29 + 1 + 66 + 538 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (1992916653821) and next prime (1992916653877).

It can be written as a sum of positive squares in only one way, i.e., 1444546783449 + 548369870400 = 1201893^2 + 740520^2 .

It is not a de Polignac number, because 1992916653849 - 29 = 1992916653337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1992916653809) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 512447697 + ... + 512451585.

Almost surely, 21992916653849 is an apocalyptic number.

1992916653849 is the 1411707-th square number.

1992916653849 is the 705854-th centered octagonal number.

It is an amenable number.

1992916653849 is a deficient number, since it is larger than the sum of its proper divisors (1174401242166).

1992916653849 is an frugal number, since it uses more digits than its factorization.

1992916653849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7828 (or 3903 counting only the distinct ones).

The product of its digits is 226748160, while the sum is 72.

The spelling of 1992916653849 in words is "one trillion, nine hundred ninety-two billion, nine hundred sixteen million, six hundred fifty-three thousand, eight hundred forty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 1331 3889 3993 11667 11979 14641 35001 42779 43923 128337 131769 385011 470569 1411707 4235121 5176259 15124321 15528777 45372963 46586331 56938849 136118889 166367531 170816547 499102593 512449641 1497307779 1830042841 5490128523 16470385569 20130471251 60391413753 181174241259 221435183761 664305551283 1992916653849