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5016645408 = 253179443659
BaseRepresentation
bin1001010110000001…
…11110111100100000
3110221121200222202210
410223000332330200
540233230123113
62145444042120
7235213532235
oct45300767440
913847628683
105016645408
112144846a45
12b80093340
1361c439148
1435839578c
151e56436c3
hex12b03ef20

5016645408 has 96 divisors (see below), whose sum is σ = 13292294400. Its totient is φ = 1656601856.

The previous prime is 5016645371. The next prime is 5016645419. The reversal of 5016645408 is 8045466105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×50166454082 = 50333462299214972928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7612183 + ... + 7612841.

It is an arithmetic number, because the mean of its divisors is an integer number (138461400).

Almost surely, 25016645408 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 5016645408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646147200).

5016645408 is an abundant number, since it is smaller than the sum of its proper divisors (8275648992).

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

5016645408 is a wasteful number, since it uses less digits than its factorization.

5016645408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 5016645408 is about 70828.2811311979. The cubic root of 5016645408 is about 1711.8713946833.

The spelling of 5016645408 in words is "five billion, sixteen million, six hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 443 537 659 716 886 1074 1318 1329 1432 1772 1977 2148 2636 2658 2864 3544 3954 4296 5272 5316 5728 7088 7908 8592 10544 10632 14176 15816 17184 21088 21264 31632 42528 63264 79297 117961 158594 235922 237891 291937 317188 353883 471844 475782 583874 634376 707766 875811 943688 951564 1167748 1268752 1415532 1751622 1887376 1903128 2335496 2537504 2831064 3503244 3774752 3806256 4670992 5662128 7006488 7612512 9341984 11324256 14012976 28025952 52256723 104513446 156770169 209026892 313540338 418053784 627080676 836107568 1254161352 1672215136 2508322704 5016645408