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406312195980 = 2235194711536577
BaseRepresentation
bin1011110100110100001…
…10000001011110001100
31102211202121002011001010
411322122012001132030
523124111410232410
6510353544245220
741232536452515
oct5723206013614
91384677064033
10406312195980
11147352707699
12668b5170810
132c4132b5152
141594663ba0c
15a880b4dc20
hex5e9a18178c

406312195980 has 192 divisors, whose sum is σ = 1224278415360. Its totient is φ = 100360912896.

The previous prime is 406312195979. The next prime is 406312195981. The reversal of 406312195980 is 89591213604.

It is an interprime number because it is at equal distance from previous prime (406312195979) and next prime (406312195981).

It is not an unprimeable number, because it can be changed into a prime (406312195981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61774452 + ... + 61781028.

It is an arithmetic number, because the mean of its divisors is an integer number (6376450080).

Almost surely, 2406312195980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406312195980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612139207680).

406312195980 is an abundant number, since it is smaller than the sum of its proper divisors (817966219380).

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

406312195980 is a wasteful number, since it uses less digits than its factorization.

406312195980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808 (or 7806 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 406312195980 in words is "four hundred six billion, three hundred twelve million, one hundred ninety-five thousand, nine hundred eighty".