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61855151713104 = 2431288648994023
BaseRepresentation
bin11100001000001110001100…
…10110000110101101010000
322010000021221212121222212210
432010013012112012231100
531101413322314304404
6335315510413552120
716012613215343121
oct1604070626065520
9263007855558783
1061855151713104
1118788693644082
126b2bb391a5640
132868bb9c70859
14113bb3bb0a048
15723edb3c4689
hex3841c6586b50

61855151713104 has 20 divisors (see below), whose sum is σ = 159792475258976. Its totient is φ = 20618383904352.

The previous prime is 61855151713093. The next prime is 61855151713151. The reversal of 61855151713104 is 40131715155816.

It is a super-2 number, since 2×618551517131042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1288648994023 = 61855151713104 / (6 + 1 + 8 + 5 + 5 + 1 + 5 + 1 + 7 + 1 + 3 + 1 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 644324496964 + ... + 644324497059.

Almost surely, 261855151713104 is an apocalyptic number.

It is an amenable number.

61855151713104 is an abundant number, since it is smaller than the sum of its proper divisors (97937323545872).

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

61855151713104 is a wasteful number, since it uses less digits than its factorization.

61855151713104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288648994034 (or 1288648994028 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 48.

The spelling of 61855151713104 in words is "sixty-one trillion, eight hundred fifty-five billion, one hundred fifty-one million, seven hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1288648994023 2577297988046 3865946982069 5154595976092 7731893964138 10309191952184 15463787928276 20618383904368 30927575856552 61855151713104