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5164783872 = 28317735419
BaseRepresentation
bin1001100111101100…
…00101100100000000
3111022221110012112120
410303312011210000
541034141040442
62212255124240
7241662636633
oct46366054400
914287405476
105164783872
112210427626
121001813680
13644035941
1436dd17c1a
152036564ec
hex133d85900

5164783872 has 144 divisors (see below), whose sum is σ = 14756535360. Its totient is φ = 1597833216.

The previous prime is 5164783859. The next prime is 5164783901. The reversal of 5164783872 is 2783874615.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950379 + ... + 955797.

It is an arithmetic number, because the mean of its divisors is an integer number (102475940).

Almost surely, 25164783872 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 5164783872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7378267680).

5164783872 is an abundant number, since it is smaller than the sum of its proper divisors (9591751488).

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

5164783872 is a wasteful number, since it uses less digits than its factorization.

5164783872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5514 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 5164783872 is about 71866.4307726493. The cubic root of 5164783872 is about 1728.5583757917.

The spelling of 5164783872 in words is "five billion, one hundred sixty-four million, seven hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 73 96 102 128 136 146 192 204 219 256 272 292 384 408 438 544 584 768 816 876 1088 1168 1241 1632 1752 2176 2336 2482 3264 3504 3723 4352 4672 4964 5419 6528 7008 7446 9344 9928 10838 13056 14016 14892 16257 18688 19856 21676 28032 29784 32514 39712 43352 56064 59568 65028 79424 86704 92123 119136 130056 158848 173408 184246 238272 260112 276369 317696 346816 368492 395587 476544 520224 552738 693632 736984 791174 953088 1040448 1105476 1186761 1387264 1473968 1582348 2080896 2210952 2373522 2947936 3164696 4161792 4421904 4747044 5895872 6329392 6724979 8843808 9494088 11791744 12658784 13449958 17687616 18988176 20174937 23583488 25317568 26899916 35375232 37976352 40349874 50635136 53799832 70750464 75952704 80699748 101270272 107599664 151905408 161399496 215199328 303810816 322798992 430398656 645597984 860797312 1291195968 1721594624 2582391936 5164783872