Search a number
-
+
2630070400464 = 243413156105793
BaseRepresentation
bin100110010001011100011…
…010010111010111010000
3100022102200010110112010000
4212101130122113113100
5321042341010303324
65332123200210000
7361005411354063
oct46213432272720
910272603415100
102630070400464
119244521a2311
12365885309900
13161026035840
14914206668da
1548632c2d9c9
hex2645c6975d0

2630070400464 has 100 divisors (see below), whose sum is σ = 8197739666116. Its totient is φ = 809252425728.

The previous prime is 2630070400459. The next prime is 2630070400579. The reversal of 2630070400464 is 4640040700362.

It can be written as a sum of positive squares in 2 ways, for example, as 582309400464 + 2047761000000 = 763092^2 + 1431000^2 .

It is a super-2 number, since 2×26300704004642 (a number of 26 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 78036049 + ... + 78069744.

Almost surely, 22630070400464 is an apocalyptic number.

2630070400464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2630070400464 is an abundant number, since it is smaller than the sum of its proper divisors (5567669265652).

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

2630070400464 is a wasteful number, since it uses less digits than its factorization.

2630070400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156105826 (or 156105811 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 2630070400464 in words is "two trillion, six hundred thirty billion, seventy million, four hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 156105793 312211586 468317379 624423172 936634758 1248846344 1404952137 1873269516 2029375309 2497692688 2809904274 3746539032 4058750618 4214856411 5619808548 6088125927 7493078064 8117501236 8429712822 11239617096 12176251854 12644569233 16235002472 16859425644 18264377781 22479234192 24352503708 25289138466 32470004944 33718851288 36528755562 48705007416 50578276932 54793133343 67437702576 73057511124 97410014832 101156553864 109586266686 146115022248 164379400029 202313107728 219172533372 292230044496 328758800058 438345066744 657517600116 876690133488 1315035200232 2630070400464