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6992798472100 = 22527237210212
BaseRepresentation
bin110010111000010001101…
…0001001101011110100100
3220202111122011000110021201
41211300203101031132210
51404032222402101400
622512240335452244
71321133031201100
oct145604321153644
926674564013251
106992798472100
1122566a14878a1
1294b302087084
133b9558651b0c
141a264ba1a900
15c1d7337806a
hex65c2344d7a4

6992798472100 has 243 divisors, whose sum is σ = 18159577542729. Its totient is φ = 2330448019200.

The previous prime is 6992798472073. The next prime is 6992798472139. The reversal of 6992798472100 is 12748972996.

The square root of 6992798472100 is 2644390.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1009217141604 + 5983581330496 = 1004598^2 + 2446136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6848969590 + ... + 6848970610.

Almost surely, 26992798472100 is an apocalyptic number.

6992798472100 is the 2644390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6992798472100

6992798472100 is an abundant number, since it is smaller than the sum of its proper divisors (11166779070629).

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

6992798472100 is a wasteful number, since it uses less digits than its factorization.

6992798472100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 64.

Multiplying 6992798472100 by its sum of digits (64), we get a square (447539102214400 = 211551202).

The spelling of 6992798472100 in words is "six trillion, nine hundred ninety-two billion, seven hundred ninety-eight million, four hundred seventy-two thousand, one hundred".