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34013136546 = 234172726497
BaseRepresentation
bin11111101011010101…
…110100011010100010
310020210102201100210000
4133223111310122202
51024124330332141
623343031320430
72312606614254
oct375325643242
9106712640700
1034013136546
111347458aa04
126712b20116
133290935bcc
14190941bcd4
15d410e65b6
hex7eb5746a2

34013136546 has 60 divisors (see below), whose sum is σ = 80961663618. Its totient is φ = 10670773248.

The previous prime is 34013136523. The next prime is 34013136601. The reversal of 34013136546 is 64563131043.

It can be written as a sum of positive squares in 3 ways, for example, as 33198662025 + 814474521 = 182205^2 + 28539^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34013136546.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 316431 + ... + 410066.

Almost surely, 234013136546 is an apocalyptic number.

34013136546 is an abundant number, since it is smaller than the sum of its proper divisors (46948527072).

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

34013136546 is a wasteful number, since it uses less digits than its factorization.

34013136546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726545 (or 726519 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 34013136546 its reverse (64563131043), we get a palindrome (98576267589).

The spelling of 34013136546 in words is "thirty-four billion, thirteen million, one hundred thirty-six thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 289 306 459 578 867 918 1377 1734 2601 2754 5202 7803 15606 23409 46818 726497 1452994 2179491 4358982 6538473 12350449 13076946 19615419 24700898 37051347 39230838 58846257 74102694 111154041 117692514 209957633 222308082 333462123 419915266 629872899 666924246 1000386369 1259745798 1889618697 2000772738 3779237394 5668856091 11337712182 17006568273 34013136546