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207198411420 = 22357111310134157
BaseRepresentation
bin1100000011110111111…
…1001101101010011100
3201210211000100212120210
43000331333031222130
511343320243131140
6235104033012420
720653366303140
oct3007577155234
9653730325523
10207198411420
117a966113250
12341a63b4110
1316700774310
14a058129220
1555ca3d1d80
hex303dfcda9c

207198411420 has 384 divisors, whose sum is σ = 786685519872. Its totient is φ = 39347712000.

The previous prime is 207198411397. The next prime is 207198411421. The reversal of 207198411420 is 24114891702.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207198411421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6048982 + ... + 6083138.

It is an arithmetic number, because the mean of its divisors is an integer number (2048660208).

Almost surely, 2207198411420 is an apocalyptic number.

207198411420 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 207198411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393342759936).

207198411420 is an abundant number, since it is smaller than the sum of its proper divisors (579487108452).

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

207198411420 is a wasteful number, since it uses less digits than its factorization.

207198411420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34301 (or 34299 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 207198411420 in words is "two hundred seven billion, one hundred ninety-eight million, four hundred eleven thousand, four hundred twenty".