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206058246138 = 23331213757601
BaseRepresentation
bin1011111111101000000…
…1110100111111111010
3201200212112221110212000
42333322001310333322
511334001402334023
6234354543201430
720613213123123
oct2777201647772
9650775843760
10206058246138
117a430565198
1233b285a6276
131657b49c7c4
149d8a93304a
155560265243
hex2ffa074ffa

206058246138 has 64 divisors (see below), whose sum is σ = 472907811840. Its totient is φ = 66438144000.

The previous prime is 206058246133. The next prime is 206058246143. The reversal of 206058246138 is 831642850602.

206058246138 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 5 + 8 + 24 + 613 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (206058246133) and next prime (206058246143).

It is a junction number, because it is equal to n+sod(n) for n = 206058246093 and 206058246102.

It is not an unprimeable number, because it can be changed into a prime (206058246133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3548538 + ... + 3606138.

It is an arithmetic number, because the mean of its divisors is an integer number (7389184560).

Almost surely, 2206058246138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206058246138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236453905920).

206058246138 is an abundant number, since it is smaller than the sum of its proper divisors (266849565702).

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

206058246138 is a wasteful number, since it uses less digits than its factorization.

206058246138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59780 (or 59774 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 206058246138 in words is "two hundred six billion, fifty-eight million, two hundred forty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 2137 4274 6411 12822 19233 38466 57601 57699 66247 115202 115398 132494 172803 198741 345606 397482 518409 596223 1036818 1192446 1555227 1785631 1788669 3110454 3571262 3577338 5356893 10713786 16070679 32141358 48212037 96424074 123093337 246186674 369280011 738560022 1107840033 2215680066 3323520099 3815893447 6647040198 7631786894 11447680341 22895360682 34343041023 68686082046 103029123069 206058246138