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4979745144 = 23321140915373
BaseRepresentation
bin1001010001101000…
…01110000101111000
3110212001021021010100
410220310032011320
540144303321034
62142045115400
7234255064263
oct45064160570
913761237110
104979745144
112125a33260
12b6b858b60
136148b947a
1435350bcda
151e22a5099
hex128d0e178

4979745144 has 96 divisors (see below), whose sum is σ = 14749815600. Its totient is φ = 1505226240.

The previous prime is 4979745139. The next prime is 4979745167. The reversal of 4979745144 is 4415479794.

4979745144 is a `hidden beast` number, since 497 + 9 + 7 + 4 + 5 + 144 = 666.

It is a congruent number.

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, 316242 + ... + 331614.

Almost surely, 24979745144 is an apocalyptic number.

4979745144 is a gapful number since it is divisible by the number (44) 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 4979745144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374907800).

4979745144 is an abundant number, since it is smaller than the sum of its proper divisors (9770070456).

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

4979745144 is a wasteful number, since it uses less digits than its factorization.

4979745144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15805 (or 15798 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 4979745144 is about 70567.3093152913. The cubic root of 4979745144 is about 1707.6638006104.

The spelling of 4979745144 in words is "four billion, nine hundred seventy-nine million, seven hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 409 792 818 1227 1636 2454 3272 3681 4499 4908 7362 8998 9816 13497 14724 15373 17996 26994 29448 30746 35992 40491 46119 53988 61492 80982 92238 107976 122984 138357 161964 169103 184476 276714 323928 338206 368952 507309 553428 676412 1014618 1106856 1352824 1521927 2029236 3043854 4058472 6087708 6287557 12175416 12575114 18862671 25150228 37725342 50300456 56588013 69163127 75450684 113176026 138326254 150901368 207489381 226352052 276652508 414978762 452704104 553305016 622468143 829957524 1244936286 1659915048 2489872572 4979745144