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38192390640 = 2432553044987
BaseRepresentation
bin100011100100011100…
…011010000111110000
310122120200201110121200
4203210130122013300
51111204223000030
625313443251200
72521304651445
oct434434320760
9118520643550
1038192390640
1115219677408
12749a679b00
1337a8729b21
141bc44b39cc
15ed7e78d60
hex8e471a1f0

38192390640 has 60 divisors (see below), whose sum is σ = 128262780984. Its totient is φ = 10184637312.

The previous prime is 38192390617. The next prime is 38192390641. The reversal of 38192390640 is 4609329183.

It is a happy number.

38192390640 is a `hidden beast` number, since 38 + 192 + 390 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38192390641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26521774 + ... + 26523213.

Almost surely, 238192390640 is an apocalyptic number.

38192390640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38192390640 is an abundant number, since it is smaller than the sum of its proper divisors (90070390344).

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

38192390640 is a wasteful number, since it uses less digits than its factorization.

38192390640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53045006 (or 53044997 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 38192390640 in words is "thirty-eight billion, one hundred ninety-two million, three hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 53044987 106089974 159134961 212179948 265224935 318269922 424359896 477404883 530449870 636539844 795674805 848719792 954809766 1060899740 1273079688 1591349610 1909619532 2121799480 2387024415 2546159376 3182699220 3819239064 4243598960 4774048830 6365398440 7638478128 9548097660 12730796880 19096195320 38192390640