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5035626720 = 253257149253
BaseRepresentation
bin1001011000010010…
…11001000011100000
3110222221102100020100
410230021121003200
540303110023340
62151402542400
7235534056315
oct45411310340
913887370210
105035626720
112154530983
12b86507a00
136233539a7
1435aad6d0c
151e7142830
hex12c2590e0

5035626720 has 144 divisors (see below), whose sum is σ = 17426459232. Its totient is φ = 1323893760.

The previous prime is 5035626719. The next prime is 5035626749. The reversal of 5035626720 is 276265305.

It is a happy number.

5035626720 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 626 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77614 + ... + 126866.

It is an arithmetic number, because the mean of its divisors is an integer number (121017078).

Almost surely, 25035626720 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 5035626720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8713229616).

5035626720 is an abundant number, since it is smaller than the sum of its proper divisors (12390832512).

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

5035626720 is a wasteful number, since it uses less digits than its factorization.

5035626720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49345 (or 49334 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5035626720 is about 70962.1499110617. The cubic root of 5035626720 is about 1714.0277273674.

The spelling of 5035626720 in words is "five billion, thirty-five million, six hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 71 72 80 90 96 120 142 144 160 180 213 240 284 288 355 360 426 480 568 639 710 720 852 1065 1136 1278 1420 1440 1704 2130 2272 2556 2840 3195 3408 4260 5112 5680 6390 6816 8520 10224 11360 12780 17040 20448 25560 34080 49253 51120 98506 102240 147759 197012 246265 295518 394024 443277 492530 591036 738795 788048 886554 985060 1182072 1477590 1576096 1773108 1970120 2216385 2364144 2955180 3496963 3546216 3940240 4432770 4728288 5910360 6993926 7092432 7880480 8865540 10490889 11820720 13987852 14184864 17484815 17731080 20981778 23641440 27975704 31472667 34969630 35462160 41963556 52454445 55951408 62945334 69939260 70924320 83927112 104908890 111902816 125890668 139878520 157363335 167854224 209817780 251781336 279757040 314726670 335708448 419635560 503562672 559514080 629453340 839271120 1007125344 1258906680 1678542240 2517813360 5035626720