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4994936064 = 28333719531
BaseRepresentation
bin1001010011011100…
…01010110100000000
3110220002212001011000
410221232022310000
540212200423224
62143350452000
7234531153546
oct45156126400
913802761130
104994936064
112133569438
12b74964000
13617aa7991
14355543d96
151e37a60c9
hex129b8ad00

4994936064 has 144 divisors (see below), whose sum is σ = 15170895040. Its totient is φ = 1619896320.

The previous prime is 4994936057. The next prime is 4994936077. The reversal of 4994936064 is 4606394994.

4994936064 is a `hidden beast` number, since 4 + 99 + 493 + 6 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4994936064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245979 + ... + 265509.

Almost surely, 24994936064 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 4994936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585447520).

4994936064 is an abundant number, since it is smaller than the sum of its proper divisors (10175958976).

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

4994936064 is a wasteful number, since it uses less digits than its factorization.

4994936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19593 (or 19573 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 4994936064 is about 70674.8616128818. The cubic root of 4994936064 is about 1709.3984710958.

The spelling of 4994936064 in words is "four billion, nine hundred ninety-four million, nine hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 576 592 666 768 864 888 999 1152 1184 1332 1728 1776 1998 2304 2368 2664 3456 3552 3996 4736 5328 6912 7104 7992 9472 10656 14208 15984 19531 21312 28416 31968 39062 42624 58593 63936 78124 85248 117186 127872 156248 175779 234372 255744 312496 351558 468744 527337 624992 703116 722647 937488 1054674 1249984 1406232 1445294 1874976 2109348 2167941 2499968 2812464 2890588 3749952 4218696 4335882 4999936 5624928 5781176 6503823 7499904 8437392 8671764 11249856 11562352 13007646 14999808 16874784 17343528 19511469 22499712 23124704 26015292 33749568 34687056 39022938 44999424 46249408 52030584 67499136 69374112 78045876 92498816 104061168 134998272 138748224 156091752 184997632 208122336 277496448 312183504 416244672 554992896 624367008 832489344 1248734016 1664978688 2497468032 4994936064