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1089053156120 = 2351722312915563
BaseRepresentation
bin11111101100100001010…
…00000110001100011000
310212010000222122110222112
433312100220012030120
5120320340101443440
62152145404411452
7141452516042546
oct17662050061430
93763028573875
101089053156120
1138a95712a186
12157095846b88
137b90aba2767
143a9d36b2d96
151d4de911965
hexfd90a06318

1089053156120 has 128 divisors (see below), whose sum is σ = 2608631101440. Its totient is φ = 407768463360.

The previous prime is 1089053156119. The next prime is 1089053156201. The reversal of 1089053156120 is 216513509801.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 195764459 + ... + 195770021.

It is an arithmetic number, because the mean of its divisors is an integer number (20379930480).

Almost surely, 21089053156120 is an apocalyptic number.

1089053156120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089053156120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304315550720).

1089053156120 is an abundant number, since it is smaller than the sum of its proper divisors (1519577945320).

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

1089053156120 is a wasteful number, since it uses less digits than its factorization.

1089053156120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7105 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 41.

The spelling of 1089053156120 in words is "one trillion, eighty-nine billion, fifty-three million, one hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 223 340 446 680 892 1115 1291 1784 2230 2582 3791 4460 5164 5563 6455 7582 8920 10328 11126 12910 15164 18955 21947 22252 25820 27815 30328 37910 43894 44504 51640 55630 75820 87788 94571 109735 111260 151640 175576 189142 219470 222520 287893 378284 438940 472855 575786 756568 877880 945710 1151572 1240549 1439465 1891420 2303144 2481098 2878930 3782840 4894181 4962196 5757860 6202745 7181833 9788362 9924392 11515720 12405490 14363666 19576724 21089333 24470905 24810980 28727332 35909165 39153448 42178666 48941810 49621960 57454664 71818330 84357332 97883620 105446665 122091161 143636660 168714664 195767240 210893330 244182322 287273320 421786660 488364644 610455805 843573320 976729288 1220911610 1601548759 2441823220 3203097518 4883646440 6406195036 8007743795 12812390072 16015487590 27226328903 32030975180 54452657806 64061950360 108905315612 136131644515 217810631224 272263289030 544526578060 1089053156120