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1307807642512 = 247219126932467
BaseRepresentation
bin10011000001111111011…
…010001111001110010000
311122000200100210210021001
4103001333122033032100
5132411342224030022
62440444252311344
7163325456354500
oct23017732171620
94560610723231
101307807642512
11464702357608
12191566172554
139643082aa57
144742649da00
15240445c5b27
hex1307f68f390

1307807642512 has 120 divisors (see below), whose sum is σ = 2974110359040. Its totient is φ = 555464689920.

The previous prime is 1307807642461. The next prime is 1307807642543. The reversal of 1307807642512 is 2152467087031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40264903 + ... + 40297369.

It is an arithmetic number, because the mean of its divisors is an integer number (24784252992).

Almost surely, 21307807642512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307807642512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487055179520).

1307807642512 is an abundant number, since it is smaller than the sum of its proper divisors (1666302716528).

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

1307807642512 is a wasteful number, since it uses less digits than its factorization.

1307807642512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32949 (or 32936 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 1307807642512 in words is "one trillion, three hundred seven billion, eight hundred seven million, six hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 191 196 269 382 392 538 764 784 1076 1337 1528 1883 2152 2674 3056 3766 4304 5348 7532 9359 10696 13181 15064 18718 21392 26362 30128 32467 37436 51379 52724 64934 74872 102758 105448 129868 149744 205516 210896 227269 259736 359653 411032 454538 519472 719306 822064 909076 1438612 1590883 1818152 2517571 2877224 3181766 3636304 5035142 5754448 6201197 6363532 8733623 10070284 12402394 12727064 17467246 20140568 24804788 25454128 34934492 40281136 43408379 49609576 61135361 69868984 86816758 99219152 122270722 139737968 173633516 244541444 303858653 347267032 427947527 489082888 607717306 694534064 855895054 978165776 1215434612 1668121993 1711790108 2430869224 3336243986 3423580216 4861738448 6672487972 6847160432 11676853951 13344975944 23353707902 26689951888 46707415804 81737977657 93414831608 163475955314 186829663216 326951910628 653903821256 1307807642512