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149826267904 = 283722736959
BaseRepresentation
bin1000101110001001010…
…1110110101100000000
3112022201122120000020111
42023202111312230000
54423321011033104
6152455040521104
713552556156455
oct2134225665400
9468648500214
10149826267904
11585a5027705
1225054620194
13111895914c1
14737468982c
153d6d713404
hex22e2576b00

149826267904 has 72 divisors (see below), whose sum is σ = 307329462720. Its totient is φ = 72845918208.

The previous prime is 149826267883. The next prime is 149826267937. The reversal of 149826267904 is 409762628941.

149826267904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21526377 + ... + 21533335.

It is an arithmetic number, because the mean of its divisors is an integer number (4268464760).

Almost surely, 2149826267904 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 149826267904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153664731360).

149826267904 is an abundant number, since it is smaller than the sum of its proper divisors (157503194816).

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

149826267904 is an equidigital number, since it uses as much as digits as its factorization.

149826267904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9285 (or 9271 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 149826267904 in words is "one hundred forty-nine billion, eight hundred twenty-six million, two hundred sixty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2273 2368 4546 4736 6959 9092 9472 13918 18184 27836 36368 55672 72736 84101 111344 145472 168202 222688 257483 290944 336404 445376 514966 581888 672808 890752 1029932 1345616 1781504 2059864 2691232 4119728 5382464 8239456 10764928 15817807 16478912 21529856 31635614 32957824 63271228 65915648 126542456 253084912 506169824 585258859 1012339648 1170517718 2024679296 2341035436 4049358592 4682070872 9364141744 18728283488 37456566976 74913133952 149826267904