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6138604608 = 263281113779
BaseRepresentation
bin1011011011110001…
…11010110001000000
3120211210212102110020
411231320322301000
5100032440321413
62453043333440
7305056164303
oct55570726100
916753772406
106138604608
11267009a554
121233981280
1376aa07c26
144233acb3a
1525ddb5c23
hex16de3ac40

6138604608 has 56 divisors (see below), whose sum is σ = 16299667680. Its totient is φ = 2038901760.

The previous prime is 6138604567. The next prime is 6138604627. The reversal of 6138604608 is 8064068316.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6138604608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2938 + ... + 110841.

Almost surely, 26138604608 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 6138604608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8149833840).

6138604608 is an abundant number, since it is smaller than the sum of its proper divisors (10161063072).

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

6138604608 is a wasteful number, since it uses less digits than its factorization.

6138604608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114075 (or 114065 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 6138604608 is about 78349.2476543330. The cubic root of 6138604608 is about 1831.0065041588.

The spelling of 6138604608 in words is "six billion, one hundred thirty-eight million, six hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 281 562 843 1124 1686 2248 3372 4496 6744 8992 13488 17984 26976 53952 113779 227558 341337 455116 682674 910232 1365348 1820464 2730696 3640928 5461392 7281856 10922784 21845568 31971899 63943798 95915697 127887596 191831394 255775192 383662788 511550384 767325576 1023100768 1534651152 2046201536 3069302304 6138604608