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406390019904 = 263211193375781
BaseRepresentation
bin1011110100111101011…
…10111001011101000000
31102211222000112000101200
411322132232321131000
523124241321114104
6510405404301200
741234503113441
oct5723656713500
91384860460350
10406390019904
11147392631990
1266917241800
132c426462bcb
1415952ad92c8
15a8878c2b39
hex5e9ebb9740

406390019904 has 168 divisors, whose sum is σ = 1337619859680. Its totient is φ = 116666956800.

The previous prime is 406390019897. The next prime is 406390019951. The reversal of 406390019904 is 409910093604.

406390019904 is a `hidden beast` number, since 4 + 0 + 639 + 0 + 0 + 1 + 9 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 406390019904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567507 + ... + 1808274.

Almost surely, 2406390019904 is an apocalyptic number.

406390019904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

406390019904 is an abundant number, since it is smaller than the sum of its proper divisors (931229839776).

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

406390019904 is a wasteful number, since it uses less digits than its factorization.

406390019904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375829 (or 3375816 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

It can be divided in two parts, 4063900 and 19904, that added together give a palindrome (4083804).

The spelling of 406390019904 in words is "four hundred six billion, three hundred ninety million, nineteen thousand, nine hundred four".