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42942683536 = 24173153307313
BaseRepresentation
bin100111111111100101…
…010101100110010000
311002211202020100102121
4213333211111212100
51200421311333121
631421054424024
73050105534044
oct477745254620
9132752210377
1042942683536
1117237030805
1283a5502014
13408491941c
142115334024
1511b5008141
hex9ff955990

42942683536 has 160 divisors (see below), whose sum is σ = 93252031488. Its totient is φ = 19063848960.

The previous prime is 42942683501. The next prime is 42942683551. The reversal of 42942683536 is 63538624924.

Its product of digits (7464960) is a multiple of the sum of its prime factors (729).

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, 137196916 + ... + 137197228.

Almost surely, 242942683536 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 42942683536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46626015744).

42942683536 is an abundant number, since it is smaller than the sum of its proper divisors (50309347952).

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

42942683536 is a wasteful number, since it uses less digits than its factorization.

42942683536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 723 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 52.

The spelling of 42942683536 in words is "forty-two billion, nine hundred forty-two million, six hundred eighty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 31 34 53 62 68 106 124 136 212 248 272 307 313 424 496 527 614 626 848 901 1054 1228 1252 1643 1802 2108 2456 2504 3286 3604 4216 4912 5008 5219 5321 6572 7208 8432 9517 9703 10438 10642 13144 14416 16271 16589 19034 19406 20876 21284 26288 27931 32542 33178 38068 38812 41752 42568 55862 65084 66356 76136 77624 83504 85136 96091 111724 130168 132712 152272 155248 161789 164951 192182 223448 260336 265424 276607 282013 323578 329902 384364 446896 504401 514259 553214 564026 647156 659804 768728 1008802 1028518 1106428 1128052 1294312 1319608 1537456 1633547 2017604 2057036 2212856 2256104 2588624 2639216 2978821 3267094 4035208 4114072 4425712 4512208 5092823 5957642 6534188 8070416 8228144 8574817 8742403 10185646 11915284 13068376 17149634 17484806 20371292 23830568 26136752 34299268 34969612 40742584 47661136 50639957 68598536 69939224 81485168 86577991 101279914 137197072 139878448 157877513 173155982 202559828 315755026 346311964 405119656 631510052 692623928 810239312 1263020104 1385247856 2526040208 2683917721 5367835442 10735670884 21471341768 42942683536