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2938399358976 = 22236312
BaseRepresentation
bin101010110000100110010…
…000000000000000000000
3101101220112002210111000000
4222300212100000000000
5341120320213441401
610125514304000000
7422202163306344
oct52604620000000
911356462714000
102938399358976
11a3319391a3a4
123b5594000000
131841225a4263
14a230da23624
155167b717186
hex2ac26400000

2938399358976 has 483 divisors, whose sum is σ = 9104566218843. Its totient is φ = 947870760960.

The previous prime is 2938399358933. The next prime is 2938399358977. The reversal of 2938399358976 is 6798539938392.

The square root of 2938399358976 is 1714176.

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

2938399358976 is a `hidden beast` number, since 2 + 9 + 383 + 9 + 93 + 5 + 89 + 76 = 666.

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

Its product of digits (4761711360) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 2938399358895 and 2938399358904.

It is not an unprimeable number, because it can be changed into a prime (2938399358977) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 94787076081 + ... + 94787076111.

Almost surely, 22938399358976 is an apocalyptic number.

2938399358976 is the 1714176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2938399358976

2938399358976 is an abundant number, since it is smaller than the sum of its proper divisors (6166166859867).

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

2938399358976 is an frugal number, since it uses more digits than its factorization.

2938399358976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 36 counting only the distinct ones).

The product of its digits is 4761711360, while the sum is 81.

Multiplying 2938399358976 by its sum of digits (81), we get a square (238010348077056 = 154275842).

2938399358976 divided by its sum of digits (81) gives a square (36276535296 = 1904642).

The spelling of 2938399358976 in words is "two trillion, nine hundred thirty-eight billion, three hundred ninety-nine million, three hundred fifty-eight thousand, nine hundred seventy-six".