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4972895964 = 22331723117763
BaseRepresentation
bin1001010000110100…
…00101111011011100
3110211120101021211000
410220122011323130
540141030132324
62141242230300
7234142626651
oct45032057334
913746337730
104972895964
112122085383
12b694b5390
1361335baba
14352647c28
151e18a09c9
hex128685edc

4972895964 has 96 divisors (see below), whose sum is σ = 14244733440. Its totient is φ = 1492280064.

The previous prime is 4972895957. The next prime is 4972895971. The reversal of 4972895964 is 4695982794.

4972895964 is a `hidden beast` number, since 497 + 2 + 89 + 5 + 9 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (4972895957) and next prime (4972895971).

It is a super-3 number, since 3×49728959643 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16654 + ... + 101109.

It is an arithmetic number, because the mean of its divisors is an integer number (148382640).

Almost surely, 24972895964 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 4972895964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7122366720).

4972895964 is an abundant number, since it is smaller than the sum of its proper divisors (9271837476).

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

4972895964 is a wasteful number, since it uses less digits than its factorization.

4972895964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117816 (or 117808 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 4972895964 is about 70518.7632052633. The cubic root of 4972895964 is about 1706.8805300606.

The spelling of 4972895964 in words is "four billion, nine hundred seventy-two million, eight hundred ninety-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 92 102 108 138 153 204 207 276 306 391 414 459 612 621 782 828 918 1173 1242 1564 1836 2346 2484 3519 4692 7038 10557 14076 21114 42228 117763 235526 353289 471052 706578 1059867 1413156 2001971 2119734 2708549 3179601 4003942 4239468 5417098 6005913 6359202 8007884 8125647 10834196 12011826 12718404 16251294 18017739 24023652 24376941 32502588 36035478 46045333 48753882 54053217 72070956 73130823 92090666 97507764 108106434 138135999 146261646 184181332 216212868 276271998 292523292 414407997 552543996 828815994 1243223991 1657631988 2486447982 4972895964