Search a number
-
+
149045552656 = 247111371131071
BaseRepresentation
bin1000101011001111001…
…1101010011000010000
3112020201020111120020221
42022303303222120100
54420221130141111
6152245351242424
713524326202640
oct2126363523020
9466636446227
10149045552656
11582343687a0
1224a77079414
1311093901310
1472dcb00520
153d24dea371
hex22b3cea610

149045552656 has 160 divisors (see below), whose sum is σ = 393190834176. Its totient is φ = 52847424000.

The previous prime is 149045552609. The next prime is 149045552671. The reversal of 149045552656 is 656255540941.

149045552656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071601 + ... + 1202671.

Almost surely, 2149045552656 is an apocalyptic number.

149045552656 is a gapful number since it is divisible by the number (16) 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 149045552656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196595417088).

149045552656 is an abundant number, since it is smaller than the sum of its proper divisors (244145281520).

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

149045552656 is a wasteful number, since it uses less digits than its factorization.

149045552656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131181 (or 131175 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 52.

The spelling of 149045552656 in words is "one hundred forty-nine billion, forty-five million, five hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 71 77 88 91 104 112 142 143 154 176 182 208 284 286 308 364 497 568 572 616 728 781 923 994 1001 1136 1144 1232 1456 1562 1846 1988 2002 2288 3124 3692 3976 4004 5467 6248 6461 7384 7952 8008 10153 10934 12496 12922 14768 16016 20306 21868 25844 40612 43736 51688 71071 81224 87472 103376 131071 142142 162448 262142 284284 524284 568568 917497 1048568 1137136 1441781 1703923 1834994 2097136 2883562 3407846 3669988 5767124 6815692 7339976 9306041 10092467 11534248 11927461 13631384 14679952 18612082 18743153 20184934 23068496 23854922 27262768 37224164 37486306 40369868 47709844 65142287 74448328 74972612 80739736 95419688 102366451 120978533 130284574 131202071 148896656 149945224 161479472 190839376 204732902 241957066 260569148 262404142 299890448 409465804 483914132 521138296 524808284 716565157 818931608 846849731 967828264 1042276592 1049616568 1330763863 1433130314 1637863216 1693699462 1935656528 2099233136 2661527726 2866260628 3387398924 5323055452 5732521256 6774797848 9315347041 10646110904 11465042512 13549595696 18630694082 21292221808 37261388164 74522776328 149045552656