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152939905824 = 2532954935311
BaseRepresentation
bin1000111001101111101…
…1011100001100100000
3112121202122102012111110
42032123323130030200
510001210103441244
6154132024543320
714022664515156
oct2163373341440
9477678365443
10152939905824
1159952653992
1225783321b40
1311564682bc4
14758bdd33d6
153ea1c529b9
hex239bedc320

152939905824 has 48 divisors (see below), whose sum is σ = 415310958720. Its totient is φ = 49222037760.

The previous prime is 152939905777. The next prime is 152939905883. The reversal of 152939905824 is 428509939251.

It is a happy number.

152939905824 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 a super-2 number, since 2×1529399058242 (a number of 23 digits) contains 22 as substring.

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, 27464872 + ... + 27470439.

It is an arithmetic number, because the mean of its divisors is an integer number (8652311640).

Almost surely, 2152939905824 is an apocalyptic number.

It is an amenable number.

152939905824 is an abundant number, since it is smaller than the sum of its proper divisors (262371052896).

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

152939905824 is a wasteful number, since it uses less digits than its factorization.

152939905824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54935353 (or 54935345 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 152939905824 in words is "one hundred fifty-two billion, nine hundred thirty-nine million, nine hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 54935311 109870622 164805933 219741244 329611866 439482488 659223732 878964976 1318447464 1593124019 1757929952 2636894928 3186248038 4779372057 5273789856 6372496076 9558744114 12744992152 19117488228 25489984304 38234976456 50979968608 76469952912 152939905824