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32354427681390 = 23519431320050089
BaseRepresentation
bin1110101101101000110100…
…01010110011101001101110
311020120001102200202022211210
413112310122022303221232
513220043331441301030
6152451230251255250
76546346610441523
oct726643212635156
9136501380668753
1032354427681390
11a344487a47801
12376660844a526
131509017977749
147dbd6975114a
153b192d8b0bb0
hex1d6d1a2b3a6e

32354427681390 has 64 divisors (see below), whose sum is σ = 83638373702400. Its totient is φ = 7983662932224.

The previous prime is 32354427681341. The next prime is 32354427681427. The reversal of 32354427681390 is 9318672445323.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 32354427681390.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660000535 + ... + 660049554.

It is an arithmetic number, because the mean of its divisors is an integer number (1306849589100).

It is a 1-persistent number, because it is pandigital, but 2⋅32354427681390 = 64708855362780 is not.

Almost surely, 232354427681390 is an apocalyptic number.

32354427681390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32354427681390 is an abundant number, since it is smaller than the sum of its proper divisors (51283946021010).

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

32354427681390 is a wasteful number, since it uses less digits than its factorization.

32354427681390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320050161.

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 32354427681390 in words is "thirty-two trillion, three hundred fifty-four billion, four hundred twenty-seven million, six hundred eighty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 285 430 570 645 817 1290 1634 2451 4085 4902 8170 12255 24510 1320050089 2640100178 3960150267 6600250445 7920300534 13200500890 19800751335 25080951691 39601502670 50161903382 56762153827 75242855073 113524307654 125404758455 150485710146 170286461481 250809516910 283810769135 340572922962 376214275365 567621538270 752428550730 851432307405 1078480922713 1702864614810 2156961845426 3235442768139 5392404613565 6470885536278 10784809227130 16177213840695 32354427681390