Search a number
-
+
87301674690 = 2356760172269
BaseRepresentation
bin101000101001110010…
…1011101011011000010
322100100012111120122220
41101103211131123002
52412243212042230
6104034505511510
76210262663626
oct1212345353302
9270305446586
1087301674690
113402a57937a
1214b051a2596
138303aa3b99
1443227c3186
15240e527d10
hex145395d6c2

87301674690 has 64 divisors (see below), whose sum is σ = 213008019840. Its totient is φ = 22894502400.

The previous prime is 87301674661. The next prime is 87301674703. The reversal of 87301674690 is 9647610378.

It is a super-2 number, since 2×873016746902 (a number of 23 digits) contains 22 as substring.

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, 1171876 + ... + 1244144.

It is an arithmetic number, because the mean of its divisors is an integer number (3328250310).

Almost surely, 287301674690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87301674690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106504009920).

87301674690 is an abundant number, since it is smaller than the sum of its proper divisors (125706345150).

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

87301674690 is a wasteful number, since it uses less digits than its factorization.

87301674690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72947.

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 87301674690 in words is "eighty-seven billion, three hundred one million, six hundred seventy-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 601 670 1005 1202 1803 2010 3005 3606 6010 9015 18030 40267 72269 80534 120801 144538 201335 216807 241602 361345 402670 433614 604005 722690 1084035 1208010 2168070 4842023 9684046 14526069 24210115 29052138 43433669 48420230 72630345 86867338 130301007 145260690 217168345 260602014 434336690 651505035 1303010070 2910055823 5820111646 8730167469 14550279115 17460334938 29100558230 43650837345 87301674690