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87369600000384 = 2732135833974359
BaseRepresentation
bin10011110111011001010001…
…111110001110000110000000
3102110100110012122102101022100
4103313121101332032012000
542422430420100003014
6505453012400510400
724255150064422222
oct2367312176160600
9373313178371270
1087369600000384
112592526a530159
12997099231b400
133999bc18c2710
1417809d5780412
15a17a3cc44009
hex4f7651f8e180

87369600000384 has 96 divisors (see below), whose sum is σ = 270754750047600. Its totient is φ = 26882953841664.

The previous prime is 87369600000301. The next prime is 87369600000413. The reversal of 87369600000384 is 48300000696378.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 87369600000384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2916972204 + ... + 2917002155.

Almost surely, 287369600000384 is an apocalyptic number.

It is an amenable number.

87369600000384 is an abundant number, since it is smaller than the sum of its proper divisors (183385150047216).

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

87369600000384 is a wasteful number, since it uses less digits than its factorization.

87369600000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833974392 (or 5833974377 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 87369600000384 in words is "eighty-seven trillion, three hundred sixty-nine billion, six hundred million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 5833974359 11667948718 17501923077 23335897436 35003846154 46671794872 52505769231 70007692308 75841666667 93343589744 105011538462 140015384616 151683333334 186687179488 210023076924 227525000001 280030769232 303366666668 373374358976 420046153848 455050000002 560061538464 606733333336 682575000003 746748717952 840092307696 910100000004 1120123076928 1213466666672 1365150000006 1680184615392 1820200000008 2240246153856 2426933333344 2730300000012 3360369230784 3640400000016 4853866666688 5460600000024 6720738461568 7280800000032 9707733333376 10921200000048 14561600000064 21842400000096 29123200000128 43684800000192 87369600000384