Search a number
-
+
634181429260 = 2252331178924859
BaseRepresentation
bin10010011101010000010…
…10001010100000001100
32020121221012020120110201
421032220022022200030
540342300421214020
61203201112543244
763550415130511
oct11165012124014
92217835216421
10634181429260
11224a5597a295
12a2aaa0b1b24
1347a593c85b2
14229a1b8d308
151176ab08a0a
hex93a828a80c

634181429260 has 96 divisors (see below), whose sum is σ = 1435372646400. Its totient is φ = 234675429120.

The previous prime is 634181429239. The next prime is 634181429267. The reversal of 634181429260 is 62924181436.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 634181429260.

It is not an unprimeable number, because it can be changed into a prime (634181429267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25498711 + ... + 25523569.

It is an arithmetic number, because the mean of its divisors is an integer number (14951798400).

Almost surely, 2634181429260 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 634181429260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717686323200).

634181429260 is an abundant number, since it is smaller than the sum of its proper divisors (801191217140).

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

634181429260 is a wasteful number, since it uses less digits than its factorization.

634181429260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26711 (or 26709 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 634181429260 in words is "six hundred thirty-four billion, one hundred eighty-one million, four hundred twenty-nine thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 1789 2852 3565 3578 7130 7156 8945 14260 17890 24859 35780 41147 49718 55459 82294 99436 110918 124295 164588 205735 221836 248590 277295 411470 497180 554590 571757 770629 822940 1109180 1143514 1275557 1541258 2287028 2551114 2858785 3082516 3853145 5102228 5717570 6377785 7706290 11435140 12755570 15412580 17724467 25511140 35448934 44472751 70897868 88622335 88945502 177244670 177891004 222363755 354489340 444727510 889455020 1022873273 1378655281 2045746546 2757310562 4091493092 5114366365 5514621124 6893276405 10228732730 13786552810 20457465460 27573105620 31709071463 63418142926 126836285852 158545357315 317090714630 634181429260