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87320606713780 = 2251121110139185531
BaseRepresentation
bin10011110110101011101001…
…101111101010011110110100
3102110011202202012220112211211
4103312223221233222132310
542421130100304320110
6505414311040411204
724251464015361026
oct2366535157523664
9373152665815754
1087320606713780
1125906509056850
12996339a616b04
1339953b45a07bb
14177c4a8a28016
15a1662195998a
hex4f6ae9bea7b4

87320606713780 has 96 divisors (see below), whose sum is σ = 201012552599040. Its totient is φ = 31599172752000.

The previous prime is 87320606713759. The next prime is 87320606713787. The reversal of 87320606713780 is 8731760602378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87320606713787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470559615 + ... + 470745145.

It is an arithmetic number, because the mean of its divisors is an integer number (2093880756240).

Almost surely, 287320606713780 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 87320606713780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100506276299520).

87320606713780 is an abundant number, since it is smaller than the sum of its proper divisors (113691945885260).

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

87320606713780 is a wasteful number, since it uses less digits than its factorization.

87320606713780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195901 (or 195899 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 58.

The spelling of 87320606713780 in words is "eighty-seven trillion, three hundred twenty billion, six hundred six million, seven hundred thirteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 4220 4642 9284 10139 11605 20278 23210 40556 46420 50695 101390 111529 185531 202780 223058 371062 446116 557645 742124 927655 1115290 1855310 2040841 2139329 2230580 3710620 4081682 4278658 8163364 8557316 10204205 10696645 20408410 21393290 23532619 39147041 40816820 42786580 47065238 78294082 94130476 117663095 156588164 195735205 235326190 391470410 430617451 470652380 782940820 861234902 1722469804 1881098809 2153087255 3762197618 4306174510 7524395236 8612349020 9405494045 18810988090 20692086899 37621976180 41384173798 82768347596 103460434495 206920868990 396911848699 413841737980 793823697398 1587647394796 1984559243495 3969118486990 4366030335689 7938236973980 8732060671378 17464121342756 21830151678445 43660303356890 87320606713780