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19370354640 = 24357213126703
BaseRepresentation
bin10010000010100100…
…000010011111010000
31211222221201222012020
4102002210002133100
5304132302322030
612522033531440
71254005204100
oct220244023720
954887658166
1019370354640
11824007315a
123907113b80
131a990cc610
14d1a823200
15785844510
hex4829027d0

19370354640 has 240 divisors, whose sum is σ = 75225685248. Its totient is φ = 4086899712.

The previous prime is 19370354629. The next prime is 19370354683. The reversal of 19370354640 is 4645307391.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 19370354592 and 19370354601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89529 + ... + 216231.

Almost surely, 219370354640 is an apocalyptic number.

19370354640 is a gapful number since it is divisible by the number (10) 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 19370354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37612842624).

19370354640 is an abundant number, since it is smaller than the sum of its proper divisors (55855330608).

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

19370354640 is a wasteful number, since it uses less digits than its factorization.

19370354640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126746 (or 126733 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 19370354640 in words is "nineteen billion, three hundred seventy million, three hundred fifty-four thousand, six hundred forty".