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87730156640 = 2557211190071
BaseRepresentation
bin101000110110100011…
…1111111010001100000
322101110001202201101202
41101231013333101200
52414132410003030
6104145213420332
76224015012300
oct1215507772140
9271401681352
1087730156640
113422a428195
121500479a6a8
1383717a84b9
14436367d600
152436e65745
hex146d1ff460

87730156640 has 72 divisors (see below), whose sum is σ = 241101291312. Its totient is φ = 30078908160.

The previous prime is 87730156601. The next prime is 87730156669. The reversal of 87730156640 is 4665103778.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5587196 + ... + 5602875.

It is an arithmetic number, because the mean of its divisors is an integer number (3348629046).

Almost surely, 287730156640 is an apocalyptic number.

87730156640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87730156640 is an abundant number, since it is smaller than the sum of its proper divisors (153371134672).

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

87730156640 is a wasteful number, since it uses less digits than its factorization.

87730156640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11190100 (or 11190085 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 87730156640 in words is "eighty-seven billion, seven hundred thirty million, one hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 11190071 22380142 44760284 55950355 78330497 89520568 111900710 156660994 179041136 223801420 313321988 358082272 391652485 447602840 548313479 626643976 783304970 895205680 1096626958 1253287952 1566609940 1790411360 2193253916 2506575904 2741567395 3133219880 4386507832 5483134790 6266439760 8773015664 10966269580 12532879520 17546031328 21932539160 43865078320 87730156640