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34530101540 = 22511225915507
BaseRepresentation
bin100000001010001001…
…111000100100100100
310022010110110220102122
4200022021320210210
51031204201222130
623510215525112
72331455006654
oct401211704444
9108113426378
1034530101540
111370a384400
126838089798
133343a7ab5c
141957d4c364
15d716b12e5
hex80a278924

34530101540 has 72 divisors (see below), whose sum is σ = 79749847296. Its totient is φ = 12549275200.

The previous prime is 34530101537. The next prime is 34530101561. The reversal of 34530101540 is 4510103543.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6267467 + ... + 6272973.

It is an arithmetic number, because the mean of its divisors is an integer number (1107636768).

Almost surely, 234530101540 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 34530101540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39874923648).

34530101540 is an abundant number, since it is smaller than the sum of its proper divisors (45219745756).

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

34530101540 is a wasteful number, since it uses less digits than its factorization.

34530101540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8129 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 34530101540 in words is "thirty-four billion, five hundred thirty million, one hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 2591 5182 5507 10364 11014 12955 22028 25910 27535 28501 51820 55070 57002 60577 110140 114004 121154 142505 242308 285010 302885 313511 570020 605770 627022 666347 1211540 1254044 1332694 1567555 2665388 3135110 3331735 6270220 6663470 13326940 14268637 28537274 57074548 71343185 142686370 156955007 285372740 313910014 627820028 784775035 1569550070 1726505077 3139100140 3453010154 6906020308 8632525385 17265050770 34530101540