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149090080524 = 223711331487471
BaseRepresentation
bin1000101011011001110…
…1100001011100001100
3112020211100021211000020
42022312131201130030
54420314030034044
6152254021502140
713525406526540
oct2126635413414
9466740254006
10149090080524
1158257511190
1224a89b71950
131109cbc1a78
1473049b1a20
153d28c93a19
hex22b676170c

149090080524 has 96 divisors (see below), whose sum is σ = 435027812352. Its totient is φ = 38607624000.

The previous prime is 149090080523. The next prime is 149090080537. The reversal of 149090080524 is 425080090941.

It is a super-2 number, since 2×1490900805242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (149090080523) 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, 62109 + ... + 549579.

It is an arithmetic number, because the mean of its divisors is an integer number (4531539712).

Almost surely, 2149090080524 is an apocalyptic number.

149090080524 is a gapful number since it is divisible by the number (14) 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 149090080524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217513906176).

149090080524 is an abundant number, since it is smaller than the sum of its proper divisors (285937731828).

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

149090080524 is a wasteful number, since it uses less digits than its factorization.

149090080524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487827 (or 487825 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 149090080524 in words is "one hundred forty-nine billion, ninety million, eighty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 331 462 662 924 993 1324 1986 2317 3641 3972 4634 6951 7282 9268 10923 13902 14564 21846 25487 27804 43692 50974 76461 101948 152922 305844 487471 974942 1462413 1949884 2924826 3412297 5362181 5849652 6824594 10236891 10724362 13649188 16086543 20473782 21448724 32173086 37535267 40947564 64346172 75070534 112605801 150141068 161352901 225211602 322705802 450423204 484058703 645411604 968117406 1129470307 1774881911 1936234812 2258940614 3388410921 3549763822 4517881228 5324645733 6776821842 7099527644 10649291466 12424173377 13553643684 21298582932 24848346754 37272520131 49696693508 74545040262 149090080524