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87320791424 = 276183134741
BaseRepresentation
bin101000101010010111…
…0011000100110000000
322100101112110210220002
41101110232120212000
52412313110311144
6104040431335132
76210614323556
oct1212456304600
9270345423802
1087320791424
113403a346029
1214b0b6814a8
138307a38269
14432515bbd6
15241105214e
hex1454b98980

87320791424 has 64 divisors (see below), whose sum is σ = 178942765680. Its totient is φ = 42426931200.

The previous prime is 87320791387. The next prime is 87320791429. The reversal of 87320791424 is 42419702378.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×873207914242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87320791429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580694 + ... + 715434.

Almost surely, 287320791424 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 87320791424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89471382840).

87320791424 is an abundant number, since it is smaller than the sum of its proper divisors (91621974256).

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

87320791424 is a wasteful number, since it uses less digits than its factorization.

87320791424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134899 (or 134887 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 87320791424 in words is "eighty-seven billion, three hundred twenty million, seven hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 83 122 128 166 244 332 488 664 976 1328 1952 2656 3904 5063 5312 7808 10126 10624 20252 40504 81008 134741 162016 269482 324032 538964 648064 1077928 2155856 4311712 8219201 8623424 11183503 16438402 17246848 22367006 32876804 44734012 65753608 89468024 131507216 178936048 263014432 357872096 526028864 682193683 715744192 1052057728 1364387366 1431488384 2728774732 5457549464 10915098928 21830197856 43660395712 87320791424