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168832978930900 = 22524173564092813
BaseRepresentation
bin100110011000110101111101…
…101111000100110011010100
3211010210021102120220110110001
4212120311331233010303110
5134112124420101242100
61355024444430341044
750363531415322654
oct4630657557046324
9733707376813401
10168832978930900
114988273415a0a9
1216b28b6705a784
137328b5cb4563b
142d997ba078364
15147baee9d4d6a
hex998d7dbc4cd4

168832978930900 has 72 divisors (see below), whose sum is σ = 380444501102904. Its totient is φ = 64983491942400.

The previous prime is 168832978930883. The next prime is 168832978930949. The reversal of 168832978930900 is 9039879238861.

It can be written as a sum of positive squares in 12 ways, for example, as 39082927669956 + 129750051260944 = 6251634^2 + 11390788^2 .

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281747107 + ... + 282345706.

It is an arithmetic number, because the mean of its divisors is an integer number (5283951404207).

Almost surely, 2168832978930900 is an apocalyptic number.

168832978930900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168832978930900 is an abundant number, since it is smaller than the sum of its proper divisors (211611522172004).

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

168832978930900 is a wasteful number, since it uses less digits than its factorization.

168832978930900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564092941 (or 564092934 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 73.

The spelling of 168832978930900 in words is "one hundred sixty-eight trillion, eight hundred thirty-two billion, nine hundred seventy-eight million, nine hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 73 82 100 146 164 205 292 365 410 730 820 1025 1460 1825 2050 2993 3650 4100 5986 7300 11972 14965 29930 59860 74825 149650 299300 564092813 1128185626 2256371252 2820464065 5640928130 11281856260 14102320325 23127805333 28204640650 41178775349 46255610666 56409281300 82357550698 92511221332 115639026665 164715101396 205893876745 231278053330 411787753490 462556106660 578195133325 823575506980 1029469383725 1156390266650 1688329789309 2058938767450 2312780533300 3376659578618 4117877534900 6753319157236 8441648946545 16883297893090 33766595786180 42208244732725 84416489465450 168832978930900