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200198693280 = 25358910146399
BaseRepresentation
bin1011101001110011000…
…1011010000110100000
3201010202012011100102210
42322130301122012200
511240001331141110
6231545304442120
720315052546465
oct2723461320640
9633665140383
10200198693280
11779a3a41423
1232972179340
1315b56539771
14999264366c
15531ab21520
hex2e9cc5a1a0

200198693280 has 192 divisors, whose sum is σ = 644039424000. Its totient is φ = 52262707200.

The previous prime is 200198693263. The next prime is 200198693309. The reversal of 200198693280 is 82396891002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4291521 + ... + 4337919.

It is an arithmetic number, because the mean of its divisors is an integer number (3354372000).

Almost surely, 2200198693280 is an apocalyptic number.

200198693280 is a gapful number since it is divisible by the number (20) 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 200198693280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322019712000).

200198693280 is an abundant number, since it is smaller than the sum of its proper divisors (443840730720).

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

200198693280 is a wasteful number, since it uses less digits than its factorization.

200198693280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46607 (or 46599 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 200198693280 in words is "two hundred billion, one hundred ninety-eight million, six hundred ninety-three thousand, two hundred eighty".