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57073072344 = 23323103393247
BaseRepresentation
bin110101001001110100…
…011111100011011000
312110022112001110211020
4311021310133203120
51413341201303334
642115150002440
74060216052631
oct651164374330
9173275043736
1057073072344
1122228296a92
12b0897a6420
1354c724ba32
142a95c6c888
1517407e4e49
hexd49d1f8d8

57073072344 has 32 divisors (see below), whose sum is σ = 148886277120. Its totient is φ = 18197211296.

The previous prime is 57073072337. The next prime is 57073072349. The reversal of 57073072344 is 44327037075.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57073072296 and 57073072305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57073072349) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51696072 + ... + 51697175.

It is an arithmetic number, because the mean of its divisors is an integer number (4652696160).

Almost surely, 257073072344 is an apocalyptic number.

It is an amenable number.

57073072344 is an abundant number, since it is smaller than the sum of its proper divisors (91813204776).

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

57073072344 is a wasteful number, since it uses less digits than its factorization.

57073072344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103393279 (or 103393275 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 42.

The spelling of 57073072344 in words is "fifty-seven billion, seventy-three million, seventy-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 103393247 206786494 310179741 413572988 620359482 827145976 1240718964 2378044681 2481437928 4756089362 7134134043 9512178724 14268268086 19024357448 28536536172 57073072344