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212023320096 = 25373037103889
BaseRepresentation
bin1100010101110110010…
…0110001111000100000
3202021021021021122000010
43011131210301320200
511433210432220341
6241222511324520
721214064325240
oct3053544617040
9667237248003
10212023320096
1181a11700585
1235112220740
1316cbc25a373
14a394c4db20
1557adc9e716
hex315d931e20

212023320096 has 96 divisors (see below), whose sum is σ = 636285525120. Its totient is φ = 60557561856.

The previous prime is 212023320079. The next prime is 212023320097. The reversal of 212023320096 is 690023320212.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (212023320097) 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 15 ways as a sum of consecutive naturals, for example, 1988920 + ... + 2092808.

It is an arithmetic number, because the mean of its divisors is an integer number (6627974220).

Almost surely, 2212023320096 is an apocalyptic number.

It is an amenable number.

212023320096 is an abundant number, since it is smaller than the sum of its proper divisors (424262205024).

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

212023320096 is a wasteful number, since it uses less digits than its factorization.

212023320096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106946 (or 106938 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 212023320096 in words is "two hundred twelve billion, twenty-three million, three hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3037 6074 9111 12148 18222 21259 24296 36444 42518 48592 63777 72888 85036 97184 103889 127554 145776 170072 207778 255108 291552 311667 340144 415556 510216 623334 680288 727223 831112 1020432 1246668 1454446 1662224 2040864 2181669 2493336 2908892 3324448 4363338 4986672 5817784 8726676 9973344 11635568 17453352 23271136 34906704 69813408 315510893 631021786 946532679 1262043572 1893065358 2208576251 2524087144 3786130716 4417152502 5048174288 6625728753 7572261432 8834305004 10096348576 13251457506 15144522864 17668610008 26502915012 30289045728 35337220016 53005830024 70674440032 106011660048 212023320096