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1689653600820 = 2232567140103947
BaseRepresentation
bin11000100101100111001…
…100111110001000110100
312222112021212100021202100
4120211213030332020310
5210140402310211240
63332114404342100
7233034122431323
oct30454714761064
95875255307670
101689653600820
115a163a454769
122335716a4930
13c3445053093
145bacb5b80ba
152de42338e30
hex1896733e234

1689653600820 has 72 divisors (see below), whose sum is σ = 5201779381344. Its totient is φ = 443849300928.

The previous prime is 1689653600819. The next prime is 1689653600959. The reversal of 1689653600820 is 280063569861.

It is a happy number.

1689653600820 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 6 + 5 + 3 + 600 + 8 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70039914 + ... + 70064033.

It is an arithmetic number, because the mean of its divisors is an integer number (72246935852).

Almost surely, 21689653600820 is an apocalyptic number.

1689653600820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1689653600820 is an abundant number, since it is smaller than the sum of its proper divisors (3512125780524).

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

1689653600820 is a wasteful number, since it uses less digits than its factorization.

1689653600820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140104029 (or 140104024 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1689653600820 in words is "one trillion, six hundred eighty-nine billion, six hundred fifty-three million, six hundred thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 140103947 280207894 420311841 560415788 700519735 840623682 1260935523 1401039470 1681247364 2101559205 2521871046 2802078940 4203118410 5043742092 6304677615 8406236820 9386964449 12609355230 18773928898 25218710460 28160893347 37547857796 46934822245 56321786694 84482680041 93869644490 112643573388 140804466735 168965360082 187739288980 281608933470 337930720164 422413400205 563217866940 844826800410 1689653600820