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57125132062782 = 23717233725393377
BaseRepresentation
bin11001111110100011110110…
…01101000101000000111110
321111021002221200011122122220
430333101323031011000332
524441414232302002112
6321254531241150210
715014104011603030
oct1477217315050076
9244232850148586
1057125132062782
11172246a5889253
1264a729718b366
1325b4b52552bb4
141016c2a5c3c50
15690e50b5598c
hex33f47b34503e

57125132062782 has 128 divisors (see below), whose sum is σ = 144268812785664. Its totient is φ = 14692942184448.

The previous prime is 57125132062781. The next prime is 57125132062807. The reversal of 57125132062782 is 28726023152175.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57125132062781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611722078 + ... + 611815454.

It is an arithmetic number, because the mean of its divisors is an integer number (1127100099888).

Almost surely, 257125132062782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57125132062782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72134406392832).

57125132062782 is an abundant number, since it is smaller than the sum of its proper divisors (87143680722882).

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

57125132062782 is a wasteful number, since it uses less digits than its factorization.

57125132062782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130682.

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 57125132062782 in words is "fifty-seven trillion, one hundred twenty-five billion, one hundred thirty-two million, sixty-two thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 391 483 714 782 966 1173 2346 2737 5474 8211 16422 37253 74506 93377 111759 186754 223518 260771 280131 521542 560262 633301 653639 782313 856819 1266602 1307278 1564626 1587409 1713638 1899903 1960917 2147671 2570457 3174818 3799806 3921834 4295342 4433107 4762227 5140914 5997733 6443013 8866214 9524454 11111863 11995466 12886026 13299321 14565923 15033697 17993199 22223726 26598642 29131846 30067394 33335589 35986398 36510407 43697769 45101091 66671178 73020814 87395538 90202182 101961461 109531221 203922922 219062442 255572849 305884383 511145698 611768766 766718547 1533437094 3478573381 6957146762 10435720143 20871440286 24350013667 48700027334 59135747477 73050041001 80007187763 118271494954 146100082002 160014375526 177407242431 240021563289 354814484862 413950232339 480043126578 560050314341 827900464678 1120100628682 1241850697017 1360122191971 1680150943023 2483701394034 2720244383942 3360301886046 4080366575913 8160733151826 9520855343797 19041710687594 28562566031391 57125132062782