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61290292944 = 2433141189713
BaseRepresentation
bin111001000101001011…
…111010011011010000
312212012102111110220210
4321011023322123100
52001010303333234
644053435404120
74266554615466
oct710513723320
9185172443823
1061290292944
1123aa1855271
12ba65bb3640
135a19b76a3a
142d75da8836
1518dab76be9
hexe452fa6d0

61290292944 has 40 divisors (see below), whose sum is σ = 163440785152. Its totient is φ = 19771061760.

The previous prime is 61290292927. The next prime is 61290292963. The reversal of 61290292944 is 44929209216.

61290292944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×612902929443 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 61290292893 and 61290292902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20593369 + ... + 20596344.

Almost surely, 261290292944 is an apocalyptic number.

It is an amenable number.

61290292944 is an abundant number, since it is smaller than the sum of its proper divisors (102150492208).

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

61290292944 is a wasteful number, since it uses less digits than its factorization.

61290292944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41189755 (or 41189749 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 61290292944 in words is "sixty-one billion, two hundred ninety million, two hundred ninety-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 41189713 82379426 123569139 164758852 247138278 329517704 494276556 659035408 988553112 1276881103 1977106224 2553762206 3830643309 5107524412 7661286618 10215048824 15322573236 20430097648 30645146472 61290292944