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85219693056 = 29342054873
BaseRepresentation
bin100111101011101111…
…1010101001000000000
322010222002212221210000
41033113133111020000
52344012220134211
6103052133440000
76104552303421
oct1172737251000
9263862787700
1085219693056
11331613277a3
1214623aa0000
1380616544a4
1441a60a7648
15233b86e656
hex13d77d5200

85219693056 has 100 divisors (see below), whose sum is σ = 254358468342. Its totient is φ = 28406550528.

The previous prime is 85219692997. The next prime is 85219693099. The reversal of 85219693056 is 65039691258.

It is a happy number.

85219693056 is a `hidden beast` number, since 8 + 521 + 9 + 69 + 3 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66069561600 + 19150131456 = 257040^2 + 138384^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85219692993 and 85219693011.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 985965 + ... + 1068908.

Almost surely, 285219693056 is an apocalyptic number.

It is an amenable number.

85219693056 is an abundant number, since it is smaller than the sum of its proper divisors (169138775286).

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

85219693056 is an equidigital number, since it uses as much as digits as its factorization.

85219693056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054903 (or 2054878 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 85219693056 in words is "eighty-five billion, two hundred nineteen million, six hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 2054873 4109746 6164619 8219492 12329238 16438984 18493857 24658476 32877968 36987714 49316952 55481571 65755936 73975428 98633904 110963142 131511872 147950856 166444713 197267808 221926284 263023744 295901712 332889426 394535616 443852568 526047488 591803424 665778852 789071232 887705136 1052094976 1183606848 1331557704 1578142464 1775410272 2367213696 2663115408 3156284928 3550820544 4734427392 5326230816 7101641088 9468854784 10652461632 14203282176 21304923264 28406564352 42609846528 85219693056