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42474970884564 = 22321769403547197
BaseRepresentation
bin10011010100001011110011…
…00011010010100111010100
312120101120022202021202211200
421222011321203102213110
521031402220021301224
6230200422055432500
711642500242334221
oct1152057143224724
9176346282252750
1042474970884564
1112596596820489
12491bb25985730
131a914ac6bac0a
14a6bb29dc6948
154d9d113085c9
hex26a1798d29d4

42474970884564 has 36 divisors (see below), whose sum is σ = 113683010310324. Its totient is φ = 13325481061632.

The previous prime is 42474970884551. The next prime is 42474970884583. The reversal of 42474970884564 is 46548807947424.

42474970884564 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 4 + 97 + 0 + 88 + 456 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30928702804164 + 11546268080400 = 5561358^2 + 3397980^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×424749708845642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42474970884492 and 42474970884501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34701772987 + ... + 34701774210.

It is an arithmetic number, because the mean of its divisors is an integer number (3157861397509).

Almost surely, 242474970884564 is an apocalyptic number.

It is an amenable number.

42474970884564 is an abundant number, since it is smaller than the sum of its proper divisors (71208039425760).

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

42474970884564 is a wasteful number, since it uses less digits than its factorization.

42474970884564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69403547224 (or 69403547219 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 72.

The spelling of 42474970884564 in words is "forty-two trillion, four hundred seventy-four billion, nine hundred seventy million, eight hundred eighty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 69403547197 138807094394 208210641591 277614188788 416421283182 624631924773 832842566364 1179860302349 1249263849546 2359720604698 2498527699092 3539580907047 4719441209396 7079161814094 10618742721141 14158323628188 21237485442282 42474970884564