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1329900294072 = 233722334853509
BaseRepresentation
bin10011010110100100001…
…111000000111110111000
311201010201001000202210010
4103112210033000332320
5133242113433402242
62454540414421520
7165040111661400
oct23264417007670
94633631022703
101329900294072
1147300a055729
121958b0b018a0
139854191c83c
144852067b800
15248d8e0689c
hex135a43c0fb8

1329900294072 has 96 divisors (see below), whose sum is σ = 3884166982800. Its totient is φ = 378340655616.

The previous prime is 1329900294007. The next prime is 1329900294143. The reversal of 1329900294072 is 2704920099231.

It is a congruent number.

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, 2152747 + ... + 2700762.

Almost surely, 21329900294072 is an apocalyptic number.

1329900294072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1329900294072 is an abundant number, since it is smaller than the sum of its proper divisors (2554266688728).

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

1329900294072 is a wasteful number, since it uses less digits than its factorization.

1329900294072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853765 (or 4853754 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 1329900294072 in words is "one trillion, three hundred twenty-nine billion, nine hundred million, two hundred ninety-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 233 294 392 466 588 699 932 1176 1398 1631 1864 2796 3262 4893 5592 6524 9786 11417 13048 19572 22834 34251 39144 45668 68502 91336 137004 274008 4853509 9707018 14560527 19414036 29121054 33974563 38828072 58242108 67949126 101923689 116484216 135898252 203847378 237821941 271796504 407694756 475643882 713465823 815389512 951287764 1130867597 1426931646 1902575528 2261735194 2853863292 3392602791 4523470388 5707726584 6785205582 7916073179 9046940776 13570411164 15832146358 23748219537 27140822328 31664292716 47496439074 55412512253 63328585432 94992878148 110825024506 166237536759 189985756296 221650049012 332475073518 443300098024 664950147036 1329900294072