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2034413546116 = 2271979183126437
BaseRepresentation
bin11101100110101100011…
…111110010101010000100
321012111011210000010102011
4131212230133302222010
5231312434331433431
64154332514424004
7266660443551220
oct35465437625204
97174153003364
102034413546116
11714876456396
1228a348b92004
13119ac9123103
147067513b780
1537dbe318cb1
hex1d9ac7f2a84

2034413546116 has 96 divisors (see below), whose sum is σ = 4339723673600. Its totient is φ = 815070522240.

The previous prime is 2034413546101. The next prime is 2034413546147. The reversal of 2034413546116 is 6116453144302.

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, 76940050 + ... + 76966486.

Almost surely, 22034413546116 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 2034413546116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169861836800).

2034413546116 is an abundant number, since it is smaller than the sum of its proper divisors (2305310127484).

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

2034413546116 is a wasteful number, since it uses less digits than its factorization.

2034413546116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28377 (or 28375 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 2034413546116 in words is "two trillion, thirty-four billion, four hundred thirteen million, five hundred forty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 76 79 133 158 266 316 532 553 1106 1501 1831 2212 3002 3662 6004 7324 10507 12817 21014 25634 26437 34789 42028 51268 52874 69578 105748 139156 144649 185059 243523 289298 370118 487046 502303 578596 740236 974092 1004606 1012543 2009212 2025086 2088523 2748331 3516121 4050172 4177046 5496662 7032242 8354092 10993324 14064484 14619661 19238317 29239322 38476634 39681937 48406147 58478644 76953268 79363874 96812294 158727748 193624588 277773559 338843029 555547118 677686058 919716793 1111094236 1355372116 1839433586 3678867172 3824085613 6438017551 7648171226 12876035102 15296342452 25752070204 26768599291 53537198582 72657626647 107074397164 145315253294 290630506588 508603386529 1017206773058 2034413546116