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34873999468 = 22711631179441
BaseRepresentation
bin100000011110101001…
…110000000001101100
310100000102120201200221
4200132221300001230
51032410220440333
624004302501124
72343132050560
oct403651600154
9110012521627
1034873999468
1113876510a70
1269132947a4
13339a0a8759
14198b8ab6a0
15d91991d2d
hex81ea7006c

34873999468 has 48 divisors (see below), whose sum is σ = 76209735168. Its totient is φ = 13565664000.

The previous prime is 34873999453. The next prime is 34873999541. The reversal of 34873999468 is 86499937843.

It is a junction number, because it is equal to n+sod(n) for n = 34873999397 and 34873999406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104628 + ... + 284068.

It is an arithmetic number, because the mean of its divisors is an integer number (1587702816).

Almost surely, 234873999468 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 34873999468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38104867584).

34873999468 is an abundant number, since it is smaller than the sum of its proper divisors (41335735700).

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

34873999468 is a wasteful number, since it uses less digits than its factorization.

34873999468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180094 (or 180092 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 70.

The spelling of 34873999468 in words is "thirty-four billion, eight hundred seventy-three million, nine hundred ninety-nine thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 631 1262 2524 4417 6941 8834 13882 17668 27764 48587 97174 179441 194348 358882 717764 1256087 1973851 2512174 3947702 5024348 7895404 13816957 27633914 55267828 113227271 226454542 452909084 792590897 1245499981 1585181794 2490999962 3170363588 4981999924 8718499867 17436999734 34873999468