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87381367008 = 25313388118041
BaseRepresentation
bin101000101100001010…
…1011101100011100000
322100112202110100222020
41101120111131203200
52412424112221013
6104050433541440
76212251236015
oct1213025354340
9270482410866
1087381367008
113407055a3a1
1214b27a14880
1383174571c0
14432d20970c
15241651a623
hex145855d8e0

87381367008 has 96 divisors (see below), whose sum is σ = 247097747232. Its totient is φ = 26878156800.

The previous prime is 87381367001. The next prime is 87381367019. The reversal of 87381367008 is 80076318378.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87381367001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4834468 + ... + 4852508.

It is an arithmetic number, because the mean of its divisors is an integer number (2573934867).

Almost surely, 287381367008 is an apocalyptic number.

It is an amenable number.

87381367008 is an abundant number, since it is smaller than the sum of its proper divisors (159716380224).

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

87381367008 is a wasteful number, since it uses less digits than its factorization.

87381367008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21948 (or 21940 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 87381367008 in words is "eighty-seven billion, three hundred eighty-one million, three hundred sixty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3881 7762 11643 15524 18041 23286 31048 36082 46572 50453 54123 62096 72164 93144 100906 108246 124192 144328 151359 186288 201812 216492 234533 288656 302718 372576 403624 432984 469066 577312 605436 703599 807248 865968 938132 1210872 1407198 1614496 1731936 1876264 2421744 2814396 3752528 4843488 5628792 7505056 11257584 22515168 70017121 140034242 210051363 280068484 420102726 560136968 840205452 910222573 1120273936 1680410904 1820445146 2240547872 2730667719 3360821808 3640890292 5461335438 6721643616 7281780584 10922670876 14563561168 21845341752 29127122336 43690683504 87381367008