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149379045792 = 2532396510593
BaseRepresentation
bin1000101100011110101…
…1110101100110100000
3112021120111000202211120
42023013223311212200
54421412013431132
6152342423212240
713535515640064
oct2130753654640
9467514022746
10149379045792
1158395639059
1224b4a8a7080
1311117a28032
147331111aa4
153d4432302c
hex22c7af59a0

149379045792 has 48 divisors (see below), whose sum is σ = 393760725120. Its totient is φ = 49584668672.

The previous prime is 149379045787. The next prime is 149379045821. The reversal of 149379045792 is 297540973941.

149379045792 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 (48).

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 7 ways as a sum of consecutive naturals, for example, 3232353 + ... + 3278240.

It is an arithmetic number, because the mean of its divisors is an integer number (8203348440).

Almost surely, 2149379045792 is an apocalyptic number.

149379045792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149379045792 is an abundant number, since it is smaller than the sum of its proper divisors (244381679328).

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

149379045792 is a wasteful number, since it uses less digits than its factorization.

149379045792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510845 (or 6510837 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 149379045792 in words is "one hundred forty-nine billion, three hundred seventy-nine million, forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 22944 6510593 13021186 19531779 26042372 39063558 52084744 78127116 104169488 156254232 208338976 312508464 625016928 1556031727 3112063454 4668095181 6224126908 9336190362 12448253816 18672380724 24896507632 37344761448 49793015264 74689522896 149379045792