Search a number
-
+
627660294420 = 2235107398924509
BaseRepresentation
bin10010010001000110111…
…10000000100100010100
32020000002201120121012010
421020203132000210110
540240422013410140
61200202042224220
763230002321545
oct11104336004424
92200081517163
10627660294420
11222209967155
12a178a1b5070
134725a387923
1422543a864cc
15114d8380880
hex9223780914

627660294420 has 96 divisors (see below), whose sum is σ = 1774390665600. Its totient is φ = 165763485184.

The previous prime is 627660294409. The next prime is 627660294433. The reversal of 627660294420 is 24492066726.

It is a self number, because there is not a number n which added to its sum of digits gives 627660294420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25597126 + ... + 25621634.

It is an arithmetic number, because the mean of its divisors is an integer number (18483236100).

Almost surely, 2627660294420 is an apocalyptic number.

627660294420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627660294420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887195332800).

627660294420 is an abundant number, since it is smaller than the sum of its proper divisors (1146730371180).

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

627660294420 is a wasteful number, since it uses less digits than its factorization.

627660294420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28617 (or 28615 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 627660294420 in words is "six hundred twenty-seven billion, six hundred sixty million, two hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 3989 6420 7978 11967 15956 19945 23934 24509 39890 47868 49018 59835 73527 79780 98036 119670 122545 147054 239340 245090 294108 367635 426823 490180 735270 853646 1280469 1470540 1707292 2134115 2560938 2622463 4268230 5121876 5244926 6402345 7867389 8536460 10489852 12804690 13112315 15734778 25609380 26224630 31469556 39336945 52449260 78673890 97766401 157347780 195532802 293299203 391065604 488832005 586598406 977664010 1173196812 1466496015 1955328020 2932992030 5865984060 10461004907 20922009814 31383014721 41844019628 52305024535 62766029442 104610049070 125532058884 156915073605 209220098140 313830147210 627660294420