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200972986272 = 2533232607623
BaseRepresentation
bin1011101100101011101…
…1000110011110100000
3201012202011010111202000
42323022323012132200
511243043041030042
6232154204324000
720343204124452
oct2731273063640
9635664114660
10200972986272
1178261014193
1232b49543600
1315c4aa8b6b6
149a273da2d2
155363abb74c
hex2ecaec67a0

200972986272 has 48 divisors (see below), whose sum is σ = 586171212480. Its totient is φ = 66990995136.

The previous prime is 200972986241. The next prime is 200972986289. The reversal of 200972986272 is 272689279002.

It is a happy number.

200972986272 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 7 + 2 + 9 + 8 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2009729862722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116302948 + ... + 116304675.

It is an arithmetic number, because the mean of its divisors is an integer number (12211900260).

Almost surely, 2200972986272 is an apocalyptic number.

It is an amenable number.

200972986272 is an abundant number, since it is smaller than the sum of its proper divisors (385198226208).

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

200972986272 is a wasteful number, since it uses less digits than its factorization.

200972986272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232607642 (or 232607628 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 200972986272 in words is "two hundred billion, nine hundred seventy-two million, nine hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 232607623 465215246 697822869 930430492 1395645738 1860860984 2093468607 2791291476 3721721968 4186937214 5582582952 6280405821 7443443936 8373874428 11165165904 12560811642 16747748856 22330331808 25121623284 33495497712 50243246568 66990995424 100486493136 200972986272