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1691255323920 = 243571300133073
BaseRepresentation
bin11000100111000110101…
…011000011110100010000
312222200102111021020210010
4120213012223003310100
5210202142330331140
63332541343034520
7233121612026061
oct30470653036420
95880374236703
101691255323920
115a22915a2a68
12233939b9ba40
13c363bb40226
145bc001da568
152ded7c78880
hex189c6ac3d10

1691255323920 has 160 divisors (see below), whose sum is σ = 5318667512064. Its totient is φ = 444487680000.

The previous prime is 1691255323889. The next prime is 1691255323921. The reversal of 1691255323920 is 293235521961.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1691255323920.

It is not an unprimeable number, because it can be changed into a prime (1691255323921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51120504 + ... + 51153576.

Almost surely, 21691255323920 is an apocalyptic number.

1691255323920 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 1691255323920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659333756032).

1691255323920 is an abundant number, since it is smaller than the sum of its proper divisors (3627412188144).

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

1691255323920 is a wasteful number, since it uses less digits than its factorization.

1691255323920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36161 (or 36155 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 1691255323920 in words is "one trillion, six hundred ninety-one billion, two hundred fifty-five million, three hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3001 3408 4260 5680 6002 8520 9003 12004 15005 17040 18006 24008 30010 33073 36012 45015 48016 60020 66146 72024 90030 99219 120040 132292 144048 165365 180060 198438 213071 240080 264584 330730 360120 396876 426142 496095 529168 639213 661460 720240 793752 852284 992190 1065355 1278426 1322920 1587504 1704568 1984380 2130710 2348183 2556852 2645840 3196065 3409136 3968760 4261420 4696366 5113704 6392130 7044549 7937520 8522840 9392732 10227408 11740915 12784260 14089098 17045680 18785464 23481830 25568520 28178196 35222745 37570928 46963660 51137040 56356392 70445490 93927320 99252073 112712784 140890980 187854640 198504146 281781960 297756219 397008292 496260365 563563920 595512438 794016584 992520730 1191024876 1488781095 1588033168 1985041460 2382049752 2977562190 3970082920 4764099504 5955124380 7046897183 7940165840 11910248760 14093794366 21140691549 23820497520 28187588732 35234485915 42281383098 56375177464 70468971830 84562766196 105703457745 112750354928 140937943660 169125532392 211406915490 281875887320 338251064784 422813830980 563751774640 845627661960 1691255323920