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309115105152 = 27371131017683
BaseRepresentation
bin1000111111110001011…
…00100010111110000000
31002112212202121100100020
410133320230202332000
520031031431331102
6354001105253440
731222106020050
oct4377054427600
91075782540306
10309115105152
1110a105466757
124baaa034280
13231c33b0b59
1410d6595b560
158092a25bbc
hex47f8b22f80

309115105152 has 128 divisors (see below), whose sum is σ = 946690364160. Its totient is φ = 87536934912.

The previous prime is 309115105147. The next prime is 309115105171. The reversal of 309115105152 is 251501511903.

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

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, 205098 + ... + 812585.

It is an arithmetic number, because the mean of its divisors is an integer number (7396018470).

Almost surely, 2309115105152 is an apocalyptic number.

309115105152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

309115105152 is an abundant number, since it is smaller than the sum of its proper divisors (637575259008).

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

309115105152 is a wasteful number, since it uses less digits than its factorization.

309115105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017820 (or 1017808 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 33.

The spelling of 309115105152 in words is "three hundred nine billion, one hundred fifteen million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 336 339 384 448 452 672 678 791 896 904 1344 1356 1582 1808 2373 2688 2712 3164 3616 4746 5424 6328 7232 9492 10848 12656 14464 18984 21696 25312 37968 43392 50624 75936 101248 151872 303744 1017683 2035366 3053049 4070732 6106098 7123781 8141464 12212196 14247562 16282928 21371343 24424392 28495124 32565856 42742686 48848784 56990248 65131712 85485372 97697568 113980496 114998179 130263424 170970744 195395136 227960992 229996358 341941488 344994537 390790272 455921984 459992716 683882976 689989074 804987253 911843968 919985432 1367765952 1379978148 1609974506 1839970864 2414961759 2735531904 2759956296 3219949012 3679941728 4829923518 5519912592 6439898024 7359883456 9659847036 11039825184 12879796048 14719766912 19319694072 22079650368 25759592096 38639388144 44159300736 51519184192 77278776288 103038368384 154557552576 309115105152