Search a number
-
+
86217557360 = 2451197974497
BaseRepresentation
bin101000001001011110…
…1111000010101110000
322020112122112201021012
41100102331320111300
52403033143313420
6103335141250052
76141360100664
oct1202275702560
9266478481235
1086217557360
1133623621a40
1214862103928
1381902c453c
14425c81a8a4
15239927cdc5
hex1412f78570

86217557360 has 40 divisors (see below), whose sum is σ = 218679079536. Its totient is φ = 31351838720.

The previous prime is 86217557359. The next prime is 86217557369. The reversal of 86217557360 is 6375571268.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 86217557299 and 86217557308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86217557369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48986369 + ... + 48988128.

Almost surely, 286217557360 is an apocalyptic number.

86217557360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86217557360 is an abundant number, since it is smaller than the sum of its proper divisors (132461522176).

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

86217557360 is a wasteful number, since it uses less digits than its factorization.

86217557360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97974521 (or 97974515 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 50.

The spelling of 86217557360 in words is "eighty-six billion, two hundred seventeen million, five hundred fifty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 97974497 195948994 391897988 489872485 783795976 979744970 1077719467 1567591952 1959489940 2155438934 3918979880 4310877868 5388597335 7837959760 8621755736 10777194670 17243511472 21554389340 43108778680 86217557360