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87353921888 = 2531712335323
BaseRepresentation
bin101000101011010110…
…0110001000101100000
322100110211211000100022
41101112230301011200
52412400101000023
6104044013413012
76211466041052
oct1212654610540
9270424730308
1087353921888
1134057014482
1214b1a79a168
13831186809c
1443297038d2
152413de87c8
hex1456b31160

87353921888 has 96 divisors (see below), whose sum is σ = 180832684032. Its totient is φ = 41486054400.

The previous prime is 87353921867. The next prime is 87353921911. The reversal of 87353921888 is 88812935378.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 87353921888.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16407995 + ... + 16413317.

It is an arithmetic number, because the mean of its divisors is an integer number (1883673792).

Almost surely, 287353921888 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 87353921888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90416342016).

87353921888 is an abundant number, since it is smaller than the sum of its proper divisors (93478762144).

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

87353921888 is a wasteful number, since it uses less digits than its factorization.

87353921888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5660 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 62.

The spelling of 87353921888 in words is "eighty-seven billion, three hundred fifty-three million, nine hundred twenty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 71 124 142 233 248 284 466 496 568 932 992 1136 1864 2201 2272 3728 4402 5323 7223 7456 8804 10646 14446 16543 17608 21292 28892 33086 35216 42584 57784 66172 70432 85168 115568 132344 165013 170336 231136 264688 330026 377933 512833 529376 660052 755866 1025666 1240259 1320104 1511732 2051332 2480518 2640208 3023464 4102664 4961036 5280416 6046928 8205328 9922072 11715923 12093856 16410656 19844144 23431846 38448029 39688288 46863692 76896058 88058389 93727384 153792116 176116778 187454768 307584232 352233556 374909536 615168464 704467112 1230336928 1408934224 2729810059 2817868448 5459620118 10919240236 21838480472 43676960944 87353921888