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620988507568881 = 342412114892
BaseRepresentation
bin1000110100110010010010011…
…1011001110011101011110001
310000102201220212210202010010000
42031030210213121303223301
51122343233430414201011
610040422103154300213
7244541640055064034
oct21514444731635361
93012656783663100
10620988507568881
1116a958824427311
1259793896887669
1320866c7112989a
14ad4c00b4bb01b
154bbd5098aa356
hex234c927673af1

620988507568881 has 45 divisors (see below), whose sum is σ = 931595724541713. Its totient is φ = 412238643563520.

The previous prime is 620988507568879. The next prime is 620988507568901. The reversal of 620988507568881 is 188865705889026.

The square root of 620988507568881 is 24919641.

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

620988507568881 is a `hidden beast` number, since 6 + 20 + 9 + 8 + 8 + 507 + 5 + 6 + 8 + 8 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 488378743281 + 620500128825600 = 698841^2 + 24909840^2 .

It is not a de Polignac number, because 620988507568881 - 21 = 620988507568879 is a prime.

It is a super-2 number, since 2×6209885075688812 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 620988507568881.

It is not an unprimeable number, because it can be changed into a prime (620988507568841) 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, 54050695585 + ... + 54050707073.

Almost surely, 2620988507568881 is an apocalyptic number.

620988507568881 is the 24919641-st square number.

620988507568881 is the 12459821-st centered octagonal number.

It is an amenable number.

620988507568881 is a deficient number, since it is larger than the sum of its proper divisors (310607216972832).

620988507568881 is an frugal number, since it uses more digits than its factorization.

620988507568881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23472 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 3715891200, while the sum is 81.

620988507568881 divided by its sum of digits (81) gives a square (7666524784801 = 27688492).

The spelling of 620988507568881 in words is "six hundred twenty trillion, nine hundred eighty-eight billion, five hundred seven million, five hundred sixty-eight thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 81 241 723 2169 6507 11489 19521 34467 58081 103401 174243 310203 522729 930609 1568187 2768849 4704561 8306547 24919641 74758923 131997121 224276769 395991363 667292609 1187974089 2001877827 3563922267 6005633481 10691766801 18016900443 31811306161 54050701329 95433918483 286301755449 858905266347 2576715799041 7666524784801 22999574354403 68998723063209 206996169189627 620988507568881