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82154563080 = 23353074215297
BaseRepresentation
bin100110010000011001…
…0110010011000001000
321212001111022012220120
41030200302302120020
52321223032004310
6101424041223240
75635603156422
oct1144062623010
9255044265816
1082154563080
1131929122227
1213b09491b20
137993618005
143d94d89812
15220c712b70
hex1320cb2608

82154563080 has 128 divisors (see below), whose sum is σ = 247900625280. Its totient is φ = 21780541440.

The previous prime is 82154563061. The next prime is 82154563081. The reversal of 82154563080 is 8036545128.

It is not an unprimeable number, because it can be changed into a prime (82154563081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15506992 + ... + 15512288.

It is an arithmetic number, because the mean of its divisors is an integer number (1936723635).

Almost surely, 282154563080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82154563080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123950312640).

82154563080 is an abundant number, since it is smaller than the sum of its proper divisors (165746062200).

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

82154563080 is a wasteful number, since it uses less digits than its factorization.

82154563080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 82154563080 in words is "eighty-two billion, one hundred fifty-four million, five hundred sixty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 421 614 842 921 1228 1263 1535 1684 1842 2105 2456 2526 3070 3368 3684 4210 4605 5052 5297 6140 6315 7368 8420 9210 10104 10594 12280 12630 15891 16840 18420 21188 25260 26485 31782 36840 42376 50520 52970 63564 79455 105940 127128 129247 158910 211880 258494 317820 387741 516988 635640 646235 775482 1033976 1292470 1550964 1626179 1938705 2230037 2584940 3101928 3252358 3877410 4460074 4878537 5169880 6504716 6690111 7754820 8130895 8920148 9757074 11150185 13009432 13380222 15509640 16261790 17840296 19514148 22300370 24392685 26760444 32523580 33450555 39028296 44600740 48785370 53520888 65047160 66901110 89201480 97570740 133802220 195141480 267604440 684621359 1369242718 2053864077 2738485436 3423106795 4107728154 5476970872 6846213590 8215456308 10269320385 13692427180 16430912616 20538640770 27384854360 41077281540 82154563080