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149607542808 = 233331199911177
BaseRepresentation
bin1000101101010101001…
…1011111000000011000
3112022011101222121211000
42023111103133000120
54422344012332213
6152421224505000
713544262063123
oct2132523370030
9468141877730
10149607542808
11584a2615269
1224bb331b160
131115317c179
1473535d13ba
153d5940ac73
hex22d54df018

149607542808 has 128 divisors (see below), whose sum is σ = 429235200000. Its totient is φ = 48232039680.

The previous prime is 149607542801. The next prime is 149607542827. The reversal of 149607542808 is 808245706941.

It is a happy number.

149607542808 is a `hidden beast` number, since 1 + 4 + 9 + 607 + 5 + 4 + 28 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149607542801) 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 31 ways as a sum of consecutive naturals, for example, 13379716 + ... + 13390892.

It is an arithmetic number, because the mean of its divisors is an integer number (3353400000).

Almost surely, 2149607542808 is an apocalyptic number.

149607542808 is a gapful number since it is divisible by the number (18) 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 149607542808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214617600000).

149607542808 is an abundant number, since it is smaller than the sum of its proper divisors (279627657192).

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

149607542808 is a wasteful number, since it uses less digits than its factorization.

149607542808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13222 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 149607542808 in words is "one hundred forty-nine billion, six hundred seven million, five hundred forty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 1999 2232 3348 3998 5997 6696 7996 11177 11994 15992 17991 22354 23988 33531 35982 44708 47976 53973 61969 67062 71964 89416 100593 107946 123938 134124 143928 185907 201186 215892 247876 268248 301779 346487 371814 402372 431784 495752 557721 603558 692974 743628 804744 1039461 1115442 1207116 1385948 1487256 1673163 2078922 2230884 2414232 2771896 3118383 3346326 4157844 4461768 6236766 6692652 8315688 9355149 12473532 13385304 18710298 22342823 24947064 37420596 44685646 67028469 74841192 89371292 134056938 178742584 201085407 268113876 402170814 536227752 603256221 692627513 804341628 1206512442 1385255026 1608683256 2077882539 2413024884 2770510052 4155765078 4826049768 5541020104 6233647617 8311530156 12467295234 16623060312 18700942851 24934590468 37401885702 49869180936 74803771404 149607542808