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61042133124016 = 24112859112130751
BaseRepresentation
bin11011110000100011110101…
…01010010100001110110000
322000010120102012201101222221
431320101322222110032300
531000103242034432031
6333454211400010424
715600101651351632
oct1570217252241660
9260116365641887
1061042133124016
11184a4906868750
126a1a45aa60a14
13280a32cb14335
14111065277aa52
1570cca520ca11
hex37847aa943b0

61042133124016 has 40 divisors (see below), whose sum is σ = 129025395560448. Its totient is φ = 27745451400000.

The previous prime is 61042133123981. The next prime is 61042133124017.

61042133124016 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×610421331240162 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61042133124017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033360 + ... + 11097391.

Almost surely, 261042133124016 is an apocalyptic number.

It is an amenable number.

61042133124016 is an abundant number, since it is smaller than the sum of its proper divisors (67983262436432).

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

61042133124016 is a wasteful number, since it uses less digits than its factorization.

61042133124016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12159361 (or 12159355 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

It can be divided in two parts, 6104213 and 3124016, that added together give a palindrome (9228229).

The spelling of 61042133124016 in words is "sixty-one trillion, forty-two billion, one hundred thirty-three million, one hundred twenty-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 28591 57182 114364 228728 314501 457456 629002 1258004 2516008 5032016 12130751 24261502 48523004 97046008 133438261 194092016 266876522 533753044 1067506088 2135012176 346830301841 693660603682 1387321207364 2774642414728 3815133320251 5549284829456 7630266640502 15260533281004 30521066562008 61042133124016