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56957429694 = 231113729321499
BaseRepresentation
bin110101000010111011…
…010110011110111110
312110000110110012221010
4311002323112132332
51413122100222234
642055455220050
74054313110224
oct650273263676
9173013405833
1056957429694
1122178a90a50
12b056b17626
1354a92bc229
142a84768b14
1517355a06e9
hexd42ed67be

56957429694 has 64 divisors (see below), whose sum is σ = 125610912000. Its totient is φ = 17074571520.

The previous prime is 56957429693. The next prime is 56957429761. The reversal of 56957429694 is 49692475965.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56957429693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2638557 + ... + 2660055.

It is an arithmetic number, because the mean of its divisors is an integer number (1962670500).

Almost surely, 256957429694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56957429694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62805456000).

56957429694 is an abundant number, since it is smaller than the sum of its proper divisors (68653482306).

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

56957429694 is a wasteful number, since it uses less digits than its factorization.

56957429694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21945.

The product of its digits is 146966400, while the sum is 66.

The spelling of 56957429694 in words is "fifty-six billion, nine hundred fifty-seven million, four hundred twenty-nine thousand, six hundred ninety-four".

Divisors: 1 2 3 6 11 22 33 66 137 274 293 411 586 822 879 1507 1758 3014 3223 4521 6446 9042 9669 19338 21499 40141 42998 64497 80282 120423 128994 236489 240846 441551 472978 709467 883102 1324653 1418934 2649306 2945363 5890726 6299207 8836089 12598414 17672178 18897621 32398993 37795242 64797986 69291277 97196979 138582554 194393958 207873831 415747662 862991359 1725982718 2588974077 5177948154 9492904949 18985809898 28478714847 56957429694