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258067096770 = 235743101282959
BaseRepresentation
bin1111000001010111111…
…1110110010011000010
3220200010010202211111010
43300111333312103002
513212010134044040
6314315425301350
724434100062220
oct3602577662302
9820103684433
10258067096770
119a49a16a47a
1242022194856
131b449495232
14c6c1d83b10
156aa6169e80
hex3c15ff64c2

258067096770 has 128 divisors (see below), whose sum is σ = 731476500480. Its totient is φ = 57044332800.

The previous prime is 258067096759. The next prime is 258067096823. The reversal of 258067096770 is 77690760852.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 258067096770.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 770551 + ... + 1053509.

It is an arithmetic number, because the mean of its divisors is an integer number (5714660160).

Almost surely, 2258067096770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258067096770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365738250240).

258067096770 is an abundant number, since it is smaller than the sum of its proper divisors (473409403710).

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

258067096770 is a wasteful number, since it uses less digits than its factorization.

258067096770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283120.

The product of its (nonzero) digits is 8890560, while the sum is 57.

The spelling of 258067096770 in words is "two hundred fifty-eight billion, sixty-seven million, ninety-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 101 105 129 202 210 215 258 301 303 430 505 602 606 645 707 903 1010 1290 1414 1505 1515 1806 2121 3010 3030 3535 4242 4343 4515 7070 8686 9030 10605 13029 21210 21715 26058 30401 43430 60802 65145 91203 130290 152005 182406 282959 304010 456015 565918 848877 912030 1414795 1697754 1980713 2829590 3961426 4244385 5942139 8488770 9903565 11884278 12167237 19807130 24334474 28578859 29710695 36501711 57157718 59421390 60836185 73003422 85170659 85736577 121672370 142894295 170341318 171473154 182508555 200052013 255511977 285788590 365017110 400104026 425853295 428682885 511023954 600156039 851706590 857365770 1000260065 1200312078 1228890937 1277559885 2000520130 2457781874 2555119770 3000780195 3686672811 6001560390 6144454685 7373345622 8602236559 12288909370 17204473118 18433364055 25806709677 36866728110 43011182795 51613419354 86022365590 129033548385 258067096770