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149263129576 = 231141271152657
BaseRepresentation
bin1000101100000011000…
…1101001101111101000
3112021021101220121200101
42023000301221233220
54421142330121301
6152323122515144
713532610444661
oct2130061515750
9467241817611
10149263129576
1158336166530
1224b17b05ab4
13110c9a00b62
14731d97a368
153d39077701
hex22c0c69be8

149263129576 has 64 divisors (see below), whose sum is σ = 313913698560. Its totient is φ = 65947392000.

The previous prime is 149263129531. The next prime is 149263129577. The reversal of 149263129576 is 675921362941.

It is not an unprimeable number, because it can be changed into a prime (149263129577) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 901440 + ... + 1054096.

It is an arithmetic number, because the mean of its divisors is an integer number (4904901540).

Almost surely, 2149263129576 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 149263129576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156956849280).

149263129576 is an abundant number, since it is smaller than the sum of its proper divisors (164650568984).

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

149263129576 is a wasteful number, since it uses less digits than its factorization.

149263129576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152986 (or 152982 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 55.

The spelling of 149263129576 in words is "one hundred forty-nine billion, two hundred sixty-three million, one hundred twenty-nine thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 271 328 451 542 902 1084 1804 2168 2981 3608 5962 11111 11924 22222 23848 44444 88888 122221 152657 244442 305314 488884 610628 977768 1221256 1679227 3358454 6258937 6716908 12517874 13433816 25035748 41370047 50071496 68848307 82740094 137696614 165480188 275393228 330960376 455070517 550786456 910141034 1696171927 1820282068 3392343854 3640564136 6784687708 13569375416 18657891197 37315782394 74631564788 149263129576