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87296241660 = 22356752341521
BaseRepresentation
bin101000101001101000…
…0101110111111111100
322100022211021112221120
41101103100232333330
52412240314213120
6104034153230540
76210165545115
oct1212320567774
9270284245846
1087296241660
11340274a8471
1214b03402450
138302920c84
144321bab20c
15240dd03140
hex145342effc

87296241660 has 96 divisors (see below), whose sum is σ = 248557999872. Its totient is φ = 22887152640.

The previous prime is 87296241653. The next prime is 87296241667. The reversal of 87296241660 is 6614269278.

It is an interprime number because it is at equal distance from previous prime (87296241653) and next prime (87296241667).

It is a super-2 number, since 2×872962416602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87296241667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2081700 + ... + 2123220.

It is an arithmetic number, because the mean of its divisors is an integer number (2589145832).

Almost surely, 287296241660 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 87296241660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124278999936).

87296241660 is an abundant number, since it is smaller than the sum of its proper divisors (161261758212).

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

87296241660 is a wasteful number, since it uses less digits than its factorization.

87296241660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42123 (or 42121 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 87296241660 in words is "eighty-seven billion, two hundred ninety-six million, two hundred forty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 523 670 804 1005 1046 1340 1569 2010 2092 2615 3138 4020 5230 6276 7845 10460 15690 31380 35041 41521 70082 83042 105123 124563 140164 166084 175205 207605 210246 249126 350410 415210 420492 498252 525615 622815 700820 830420 1051230 1245630 2102460 2491260 2781907 5563814 8345721 11127628 13909535 16691442 21715483 27819070 33382884 41728605 43430966 55638140 65146449 83457210 86861932 108577415 130292898 166914420 217154830 260585796 325732245 434309660 651464490 1302928980 1454937361 2909874722 4364812083 5819749444 7274686805 8729624166 14549373610 17459248332 21824060415 29098747220 43648120830 87296241660