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87959969712 = 243535416389
BaseRepresentation
bin101000111101011010…
…0101001111110110000
322102001002012102200000
41101322310221332300
52420120223012322
6104224103230000
76232505256246
oct1217264517660
9272032172600
1087959969712
113433812314a
1215069748300
1383aa2a0674
144385dc2796
15244c20d3ac
hex147ad29fb0

87959969712 has 120 divisors (see below), whose sum is σ = 255395059920. Its totient is φ = 29307121920.

The previous prime is 87959969701. The next prime is 87959969731. The reversal of 87959969712 is 21796995978.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13764214 + ... + 13770602.

It is an arithmetic number, because the mean of its divisors is an integer number (2128292166).

Almost surely, 287959969712 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 87959969712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127697529960).

87959969712 is an abundant number, since it is smaller than the sum of its proper divisors (167435090208).

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

87959969712 is a wasteful number, since it uses less digits than its factorization.

87959969712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9953 (or 9935 counting only the distinct ones).

The product of its digits is 154314720, while the sum is 72.

The spelling of 87959969712 in words is "eighty-seven billion, nine hundred fifty-nine million, nine hundred sixty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3541 3888 6389 7082 10623 12778 14164 19167 21246 25556 28328 31869 38334 42492 51112 56656 57501 63738 76668 84984 95607 102224 115002 127476 153336 169968 172503 191214 230004 254952 286821 306672 345006 382428 460008 509904 517509 573642 690012 764856 860463 920016 1035018 1147284 1380024 1529712 1552527 1720926 2070036 2294568 2760048 3105054 3441852 4140072 4589136 6210108 6883704 8280144 12420216 13767408 22623449 24840432 45246898 67870347 90493796 135740694 180987592 203611041 271481388 361975184 407222082 542962776 610833123 814444164 1085925552 1221666246 1628888328 1832499369 2443332492 3257776656 3664998738 4886664984 5497498107 7329997476 9773329968 10994996214 14659994952 21989992428 29319989904 43979984856 87959969712