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19416693408 = 25371929411279
BaseRepresentation
bin10010000101010100…
…110011101010100000
31212010011221020000220
4102011110303222200
5304231133142113
612530411043040
71255110112410
oct220524635240
955104836026
1019416693408
118264243162
12391a740480
131aa58a53c8
14d22a46640
15789949523
hex485533aa0

19416693408 has 384 divisors, whose sum is σ = 65028096000. Its totient is φ = 4946780160.

The previous prime is 19416693371. The next prime is 19416693421. The reversal of 19416693408 is 80439661491.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15180513 + ... + 15181791.

It is an arithmetic number, because the mean of its divisors is an integer number (169344000).

Almost surely, 219416693408 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 19416693408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32514048000).

19416693408 is an abundant number, since it is smaller than the sum of its proper divisors (45611402592).

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

19416693408 is a wasteful number, since it uses less digits than its factorization.

19416693408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 19416693408 in words is "nineteen billion, four hundred sixteen million, six hundred ninety-three thousand, four hundred eight".