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5215294176 = 2533110117351
BaseRepresentation
bin1001101101101101…
…10001001011100000
3111110110111101122120
410312312301023200
541140103403201
62221301504240
7243145161201
oct46666611340
914413441576
105215294176
112236996784
121016712080
1365163c3b1
143769055a8
15207cd2536
hex136db12e0

5215294176 has 96 divisors (see below), whose sum is σ = 14272505856. Its totient is φ = 1665600000.

The previous prime is 5215294163. The next prime is 5215294193. The reversal of 5215294176 is 6714925125.

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

It is a congruent number.

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, 291901 + ... + 309251.

It is an arithmetic number, because the mean of its divisors is an integer number (148671936).

Almost surely, 25215294176 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 5215294176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136252928).

5215294176 is an abundant number, since it is smaller than the sum of its proper divisors (9057211680).

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

5215294176 is a wasteful number, since it uses less digits than its factorization.

5215294176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17496 (or 17488 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 5215294176 is about 72216.9936787734. The cubic root of 5215294176 is about 1734.1750627109.

The spelling of 5215294176 in words is "five billion, two hundred fifteen million, two hundred ninety-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 101 124 186 202 248 303 372 404 496 606 744 808 992 1212 1488 1616 2424 2976 3131 3232 4848 6262 9393 9696 12524 17351 18786 25048 34702 37572 50096 52053 69404 75144 100192 104106 138808 150288 208212 277616 300576 416424 537881 555232 832848 1075762 1613643 1665696 1752451 2151524 3227286 3504902 4303048 5257353 6454572 7009804 8606096 10514706 12909144 14019608 17212192 21029412 25818288 28039216 42058824 51636576 54325981 56078432 84117648 108651962 162977943 168235296 217303924 325955886 434607848 651911772 869215696 1303823544 1738431392 2607647088 5215294176