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4890540816 = 243277336619
BaseRepresentation
bin1001000110111111…
…11011101100010000
3110121211102012210100
410203133323230100
540003434301231
62125141132400
7232122624330
oct44337735420
913554365710
104890540816
11208a645777
12b459ba100
135cc285745
1434572b0c0
151d95341e6
hex1237fbb10

4890540816 has 120 divisors (see below), whose sum is σ = 15665673920. Its totient is φ = 1395180288.

The previous prime is 4890540799. The next prime is 4890540821. The reversal of 4890540816 is 6180450984.

4890540816 is a `hidden beast` number, since 4 + 8 + 90 + 540 + 8 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735555 + ... + 742173.

Almost surely, 24890540816 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 4890540816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7832836960).

4890540816 is an abundant number, since it is smaller than the sum of its proper divisors (10775133104).

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

4890540816 is a wasteful number, since it uses less digits than its factorization.

4890540816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7373 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4890540816 is about 69932.4017605573. The cubic root of 4890540816 is about 1697.4055946567.

The spelling of 4890540816 in words is "four billion, eight hundred ninety million, five hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 733 1008 1466 2199 2932 4398 5131 5864 6597 6619 8796 10262 11728 13194 13238 15393 17592 19857 20524 26388 26476 30786 35184 39714 41048 46179 46333 52776 52952 59571 61572 79428 82096 92358 92666 105552 105904 119142 123144 138999 158856 184716 185332 238284 246288 277998 317712 369432 370664 416997 476568 555996 738864 741328 833994 953136 1111992 1667988 2223984 3335976 4851727 6671952 9703454 14555181 19406908 29110362 33962089 38813816 43665543 58220724 67924178 77627632 87331086 101886267 116441448 135848356 174662172 203772534 232882896 271696712 305658801 349324344 407545068 543393424 611317602 698648688 815090136 1222635204 1630180272 2445270408 4890540816