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8130091251920 = 2451173151838133
BaseRepresentation
bin111011001001110111100…
…1100110111100011010000
31001210020012001000201120212
41312103233030313203100
52031200411330030140
625142525023023252
71466244145262201
oct166235714674320
931706161021525
108130091251920
112654a52619280
12ab37bb13ab28
1346c8836686c1
142016d9cdd5a8
15e1737d01765
hex764ef3378d0

8130091251920 has 160 divisors (see below), whose sum is σ = 21041803309824. Its totient is φ = 2896584192000.

The previous prime is 8130091251871. The next prime is 8130091251949. The reversal of 8130091251920 is 291521900318.

It is a super-2 number, since 2×81300912519202 (a number of 27 digits) contains 22 as substring.

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, 9281174 + ... + 10119306.

Almost surely, 28130091251920 is an apocalyptic number.

8130091251920 is a gapful number since it is divisible by the number (80) 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 8130091251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10520901654912).

8130091251920 is an abundant number, since it is smaller than the sum of its proper divisors (12911712057904).

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

8130091251920 is a wasteful number, since it uses less digits than its factorization.

8130091251920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838381 (or 838375 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 8130091251920 in words is "eight trillion, one hundred thirty billion, ninety-one million, two hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 151 176 220 292 302 365 440 584 604 730 755 803 880 1168 1208 1460 1510 1606 1661 2416 2920 3020 3212 3322 4015 5840 6040 6424 6644 8030 8305 11023 12080 12848 13288 16060 16610 22046 26576 32120 33220 44092 55115 64240 66440 88184 110230 121253 132880 176368 220460 242506 440920 485012 606265 838133 881840 970024 1212530 1676266 1940048 2425060 3352532 4190665 4850120 6705064 8381330 9219463 9700240 13410128 16762660 18438926 33525320 36877852 46097315 61183709 67050640 73755704 92194630 122367418 126558083 147511408 184389260 244734836 253116166 305918545 368778520 489469672 506232332 611837090 632790415 673020799 737557040 978939344 1012464664 1223674180 1265580830 1346041598 1392138913 2024929328 2447348360 2531161660 2692083196 2784277826 3365103995 4894696720 5062323320 5384166392 5568555652 6730207990 6960694565 9238740059 10124646640 10768332784 11137111304 13460415980 13921389130 18477480118 22274222608 26920831960 27842778260 36954960236 46193700295 53841663920 55685556520 73909920472 92387400590 101626140649 111371113040 147819840944 184774801180 203252281298 369549602360 406504562596 508130703245 739099204720 813009125192 1016261406490 1626018250384 2032522812980 4065045625960 8130091251920