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196774963200 = 21133521371039
BaseRepresentation
bin1011011101000010110…
…0111010100000000000
3200210220120210211201000
42313100230322200000
511210443342310300
6230221442212000
720134160406234
oct2672054724000
9623816724630
10196774963200
11764a7378332
1232177654000
131572c12578a
149749a5a5c4
1551ba27cc00
hex2dd0b3a800

196774963200 has 576 divisors, whose sum is σ = 728765856000. Its totient is φ = 52040171520.

The previous prime is 196774963181. The next prime is 196774963207. The reversal of 196774963200 is 2369477691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1967749632002 (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 not an unprimeable number, because it can be changed into a prime (196774963207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189388281 + ... + 189389319.

It is an arithmetic number, because the mean of its divisors is an integer number (1265218500).

Almost surely, 2196774963200 is an apocalyptic number.

196774963200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196774963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364382928000).

196774963200 is an abundant number, since it is smaller than the sum of its proper divisors (531990892800).

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

196774963200 is a wasteful number, since it uses less digits than its factorization.

196774963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 196774963200 in words is "one hundred ninety-six billion, seven hundred seventy-four million, nine hundred sixty-three thousand, two hundred".