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86535311900 = 225219131347671
BaseRepresentation
bin101000010010111101…
…0000001001000011100
322021100210110022112212
41100211322001020130
52404211014440100
6103430452015552
76152266005032
oct1204572011034
9267323408485
1086535311900
1133776a226a4
12149306015b8
13821109a68b
14428cad2552
1523b70e7635
hex1425e8121c

86535311900 has 72 divisors (see below), whose sum is σ = 199174335360. Its totient is φ = 32541912000.

The previous prime is 86535311899. The next prime is 86535311909. The reversal of 86535311900 is 911353568.

It is a super-2 number, since 2×865353119002 (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 (86535311909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75065 + ... + 422735.

Almost surely, 286535311900 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 86535311900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99587167680).

86535311900 is an abundant number, since it is smaller than the sum of its proper divisors (112639023460).

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

86535311900 is a wasteful number, since it uses less digits than its factorization.

86535311900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347835 (or 347828 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 41.

The spelling of 86535311900 in words is "eighty-six billion, five hundred thirty-five million, three hundred eleven thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 131 190 262 380 475 524 655 950 1310 1900 2489 2620 3275 4978 6550 9956 12445 13100 24890 49780 62225 124450 248900 347671 695342 1390684 1738355 3476710 6605749 6953420 8691775 13211498 17383550 26422996 33028745 34767100 45544901 66057490 91089802 132114980 165143725 182179604 227724505 330287450 455449010 660574900 865353119 910898020 1138622525 1730706238 2277245050 3461412476 4326765595 4554490100 8653531190 17307062380 21633827975 43267655950 86535311900