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149549694848 = 2779101181809
BaseRepresentation
bin1000101101000111011…
…0110011111110000000
3112022000101010122022222
42023101312303332000
54422234210213343
6152411400550212
713542660301151
oct2132166637600
9468011118288
10149549694848
11584729a4234
1224b97a82368
13111441a68c8
147349a53928
153d542d0a68
hex22d1db3f80

149549694848 has 128 divisors (see below), whose sum is σ = 306751536000. Its totient is φ = 72603648000.

The previous prime is 149549694817. The next prime is 149549694859. The reversal of 149549694848 is 848496945941.

149549694848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1495496948482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184857068 + ... + 184857876.

It is an arithmetic number, because the mean of its divisors is an integer number (2396496375).

Almost surely, 2149549694848 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 149549694848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153375768000).

149549694848 is an abundant number, since it is smaller than the sum of its proper divisors (157201841152).

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

149549694848 is a wasteful number, since it uses less digits than its factorization.

149549694848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1172 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 71.

The spelling of 149549694848 in words is "one hundred forty-nine billion, five hundred forty-nine million, six hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 79 101 128 158 181 202 316 362 404 632 724 808 809 1264 1448 1616 1618 2528 2896 3232 3236 5056 5792 6464 6472 7979 10112 11584 12928 12944 14299 15958 18281 23168 25888 28598 31916 36562 51776 57196 63832 63911 73124 81709 103552 114392 127664 127822 146248 146429 163418 228784 255328 255644 292496 292858 326836 457568 510656 511288 584992 585716 653672 915136 1021312 1022576 1169984 1171432 1307344 1444199 1830272 2045152 2339968 2342864 2614688 2888398 4090304 4685728 5229376 5776796 6455011 8180608 9371456 10458752 11553592 11567891 12910022 14789329 18742912 23107184 23135782 25820044 29578658 46214368 46271564 51640088 59157316 92428736 92543128 103280176 118314632 184857472 185086256 206560352 236629264 370172512 413120704 473258528 740345024 826241408 946517056 1168356991 1480690048 1893034112 2336713982 4673427964 9346855928 18693711856 37387423712 74774847424 149549694848