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10537734693852 = 2232292714852607
BaseRepresentation
bin1001100101011000000111…
…1011101110001111011100
31101022101201211221000201200
42121112001323232033130
52340122240040200402
634224545105435500
72135216614001442
oct231260173561734
941271654830650
1010537734693852
1133a3034575513
12122234a03bb90
135b591cc3ccc2
14286059b22b92
1513419d74121c
hex99581eee3dc

10537734693852 has 18 divisors (see below), whose sum is σ = 26637051587328. Its totient is φ = 3512578231272.

The previous prime is 10537734693851. The next prime is 10537734693877. The reversal of 10537734693852 is 25839643773501.

10537734693852 is a `hidden beast` number, since 1 + 0 + 53 + 7 + 73 + 469 + 3 + 8 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105377346938522 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10537734693852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10537734693851) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146357426268 + ... + 146357426339.

It is an arithmetic number, because the mean of its divisors is an integer number (1479836199296).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10537734693852 = 21075469387704, but 3⋅10537734693852 = 31613204081556 is not.

Almost surely, 210537734693852 is an apocalyptic number.

10537734693852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10537734693852 is an abundant number, since it is smaller than the sum of its proper divisors (16099316893476).

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

10537734693852 is a wasteful number, since it uses less digits than its factorization.

10537734693852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292714852617 (or 292714852612 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 10537734693852 in words is "ten trillion, five hundred thirty-seven billion, seven hundred thirty-four million, six hundred ninety-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 292714852607 585429705214 878144557821 1170859410428 1756289115642 2634433673463 3512578231284 5268867346926 10537734693852