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57068741040 = 243510110722003
BaseRepresentation
bin110101001001100011…
…111110000110110000
312110022012220102101120
4311021203332012300
51413334044203130
642114513102240
74060134203133
oct651143760660
9173265812346
1057068741040
11222258a88a3
12b088257980
1354c639342c
142a9546221a
15174023b910
hexd498fe1b0

57068741040 has 160 divisors (see below), whose sum is σ = 180342671616. Its totient is φ = 14926156800.

The previous prime is 57068741029. The next prime is 57068741057. The reversal of 57068741040 is 4014786075.

57068741040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57068740983 and 57068741001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2582679 + ... + 2604681.

Almost surely, 257068741040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57068741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90171335808).

57068741040 is an abundant number, since it is smaller than the sum of its proper divisors (123273930576).

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

57068741040 is a wasteful number, since it uses less digits than its factorization.

57068741040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22227 (or 22221 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 57068741040 in words is "fifty-seven billion, sixty-eight million, seven hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 107 120 202 214 240 303 321 404 428 505 535 606 642 808 856 1010 1070 1212 1284 1515 1605 1616 1712 2020 2140 2424 2568 3030 3210 4040 4280 4848 5136 6060 6420 8080 8560 10807 12120 12840 21614 22003 24240 25680 32421 43228 44006 54035 64842 66009 86456 88012 108070 110015 129684 132018 162105 172912 176024 216140 220030 259368 264036 324210 330045 352048 432280 440060 518736 528072 648420 660090 864560 880120 1056144 1296840 1320180 1760240 2222303 2354321 2593680 2640360 4444606 4708642 5280720 6666909 7062963 8889212 9417284 11111515 11771605 13333818 14125926 17778424 18834568 22223030 23543210 26667636 28251852 33334545 35314815 35556848 37669136 44446060 47086420 53335272 56503704 66669090 70629630 88892120 94172840 106670544 113007408 133338180 141259260 177784240 188345680 237786421 266676360 282518520 475572842 533352720 565037040 713359263 951145684 1188932105 1426718526 1902291368 2377864210 2853437052 3566796315 3804582736 4755728420 5706874104 7133592630 9511456840 11413748208 14267185260 19022913680 28534370520 57068741040