Search a number
-
+
61083072444141 = 32115686911084949
BaseRepresentation
bin11011110001110000000101…
…10101011011011011101101
322000021111002100021100110200
431320320002311123123231
531001241113021203031
6333525102011424113
715603051323005236
oct1570700265333355
9260244070240420
1061083072444141
1118510204a64910
126a26385455039
132811155679507
1411126179bc08d
1570dd9e3db8e6
hex378e02d5b6ed

61083072444141 has 24 divisors (see below), whose sum is σ = 96252372122400. Its totient is φ = 37019944687200.

The previous prime is 61083072444137. The next prime is 61083072444161. The reversal of 61083072444141 is 14144427038016.

61083072444141 is a `hidden beast` number, since 6 + 108 + 30 + 72 + 4 + 441 + 4 + 1 = 666.

It is not a de Polignac number, because 61083072444141 - 22 = 61083072444137 is a prime.

It is a super-2 number, since 2×610830724441412 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61083072444161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55757935 + ... + 56842883.

It is an arithmetic number, because the mean of its divisors is an integer number (4010515505100).

Almost surely, 261083072444141 is an apocalyptic number.

It is an amenable number.

61083072444141 is a deficient number, since it is larger than the sum of its proper divisors (35169299678259).

61083072444141 is a wasteful number, since it uses less digits than its factorization.

61083072444141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653657 (or 1653654 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 61083072444141 in words is "sixty-one trillion, eighty-three billion, seventy-two million, four hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 568691 1084949 1706073 3254847 5118219 6255601 9764541 11934439 18766803 35803317 56300409 107409951 617000731759 1851002195277 5553006585831 6787008049349 20361024148047 61083072444141