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4968520704 = 21032777017
BaseRepresentation
bin1001010000010010…
…11001110000000000
3110211021011000002100
410220021121300000
540133420130304
62141004350400
7234060505050
oct45011316000
913737130070
104968520704
11211a667164
12b67b45400
136124894a4
14351c29560
151e12d9439
hex128259c00

4968520704 has 132 divisors (see below), whose sum is σ = 16396207984. Its totient is φ = 1419558912.

The previous prime is 4968520703. The next prime is 4968520717. The reversal of 4968520704 is 4070258694.

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 4968520704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968520703) 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, 26004 + ... + 103020.

Almost surely, 24968520704 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 4968520704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198103992).

4968520704 is an abundant number, since it is smaller than the sum of its proper divisors (11427687280).

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

4968520704 is a wasteful number, since it uses less digits than its factorization.

4968520704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77050 (or 77029 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4968520704 is about 70487.7344223802. The cubic root of 4968520704 is about 1706.3797998747.

The spelling of 4968520704 in words is "four billion, nine hundred sixty-eight million, five hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 77017 154034 231051 308068 462102 539119 616136 693153 924204 1078238 1232272 1386306 1617357 1848408 2156476 2464544 2772612 3234714 3696816 4312952 4852071 4929088 5545224 6469428 7393632 8625904 9704142 9858176 11090448 12938856 14787264 17251808 19408284 19716352 22180896 25877712 29574528 34503616 38816568 39432704 44361792 51755424 59149056 69007232 77633136 78865408 88723584 103510848 118298112 138014464 155266272 177447168 207021696 236596224 276028928 310532544 354894336 414043392 552057856 621065088 709788672 828086784 1242130176 1656173568 2484260352 4968520704