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34856350158 = 2378344322571
BaseRepresentation
bin100000011101100110…
…011011000111001110
310022222012101001101210
4200131212123013032
51032341211201113
624002432315250
72342526042060
oct403546330716
9108865331353
1034856350158
1113867556863
1269093a2b26
133396539286
1419893d5730
15d901576c3
hex81d99b1ce

34856350158 has 64 divisors (see below), whose sum is σ = 80817149952. Its totient is φ = 9816324960.

The previous prime is 34856350141. The next prime is 34856350229. The reversal of 34856350158 is 85105365843.

34856350158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533013 + ... + 1555583.

It is an arithmetic number, because the mean of its divisors is an integer number (1262767968).

Almost surely, 234856350158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34856350158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40408574976).

34856350158 is an abundant number, since it is smaller than the sum of its proper divisors (45960799794).

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

34856350158 is a wasteful number, since it uses less digits than its factorization.

34856350158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23109.

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 34856350158 in words is "thirty-four billion, eight hundred fifty-six million, three hundred fifty thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 443 498 581 886 1162 1329 1743 2658 3101 3486 6202 9303 18606 22571 36769 45142 67713 73538 110307 135426 157997 220614 257383 315994 473991 514766 772149 947982 1544298 1873393 3746786 5620179 9998953 11240358 13113751 19997906 26227502 29996859 39341253 59993718 69992671 78682506 139985342 209978013 419956026 829913099 1659826198 2489739297 4979478594 5809391693 11618783386 17428175079 34856350158