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149193004016 = 24721451131149
BaseRepresentation
bin1000101011110010011…
…0001001001111110000
3112021002111221212111102
42022330212021033300
54421021402112031
6152312135503532
713531066416200
oct2127446111760
9467074855442
10149193004016
11582aa61a121
1224ab8527ba8
13110b831a144
147314524400
153d32d247cb
hex22bc9893f0

149193004016 has 60 divisors (see below), whose sum is σ = 336489456600. Its totient is φ = 63895305600.

The previous prime is 149193004007. The next prime is 149193004031. The reversal of 149193004016 is 610400391941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1072010 + ... + 1203158.

It is an arithmetic number, because the mean of its divisors is an integer number (5608157610).

Almost surely, 2149193004016 is an apocalyptic number.

149193004016 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 149193004016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168244728300).

149193004016 is an abundant number, since it is smaller than the sum of its proper divisors (187296452584).

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

149193004016 is a wasteful number, since it uses less digits than its factorization.

149193004016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132622 (or 132609 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

Adding to 149193004016 its reverse (610400391941), we get a palindrome (759593395957).

The spelling of 149193004016 in words is "one hundred forty-nine billion, one hundred ninety-three million, four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1451 2902 5804 10157 11608 20314 23216 40628 71099 81256 131149 142198 162512 262298 284396 524596 568792 918043 1049192 1137584 1836086 2098384 3672172 6426301 7344344 12852602 14688688 25705204 51410408 102820816 190297199 380594398 761188796 1332080393 1522377592 2664160786 3044755184 5328321572 9324562751 10656643144 18649125502 21313286288 37298251004 74596502008 149193004016