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87459954820 = 22576716357203
BaseRepresentation
bin101000101110100000…
…1010000000010000100
322100202020100001011221
41101131001100002010
52413104222023240
6104102322210124
76214224231010
oct1213501200204
9270666301157
1087459954820
11341009565a7
1214b4a1b3944
13832a811874
144339825540
15241d390a4a
hex145d050084

87459954820 has 96 divisors (see below), whose sum is σ = 214347506688. Its totient is φ = 29356981632.

The previous prime is 87459954817. The next prime is 87459954821. The reversal of 87459954820 is 2845995478.

It is not an unprimeable number, because it can be changed into a prime (87459954821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1500339 + ... + 1557541.

It is an arithmetic number, because the mean of its divisors is an integer number (2232786528).

Almost surely, 287459954820 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 87459954820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107173753344).

87459954820 is an abundant number, since it is smaller than the sum of its proper divisors (126887551868).

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

87459954820 is a wasteful number, since it uses less digits than its factorization.

87459954820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57449 (or 57447 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 87459954820 in words is "eighty-seven billion, four hundred fifty-nine million, nine hundred fifty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 163 268 326 335 469 652 670 815 938 1141 1340 1630 1876 2282 2345 3260 4564 4690 5705 9380 10921 11410 21842 22820 43684 54605 57203 76447 109210 114406 152894 218420 228812 286015 305788 382235 400421 572030 764470 800842 1144060 1528940 1601684 2002105 3832601 4004210 7665202 8008420 9324089 15330404 18648178 19163005 26828207 37296356 38326010 46620445 53656414 65268623 76652020 93240890 107312828 130537246 134141035 186481780 261074492 268282070 326343115 536564140 624713963 652686230 1249427926 1305372460 2498855852 3123569815 4372997741 6247139630 8745995482 12494279260 17491990964 21864988705 43729977410 87459954820