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42943411656 = 2334431918069
BaseRepresentation
bin100111111111101000…
…000111010111001000
311002211210121100020000
4213333220013113020
51200422003133111
631421122203000
73050114655615
oct477750072710
9132753540200
1042943411656
1117237488862
1283a57b3460
134084b12972
14211548350c
1511b50edc56
hex9ffa075c8

42943411656 has 160 divisors (see below), whose sum is σ = 123738278400. Its totient is φ = 13906650240.

The previous prime is 42943411607. The next prime is 42943411691. The reversal of 42943411656 is 65611434924.

42943411656 is a `hidden beast` number, since 4 + 294 + 341 + 16 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5317990 + ... + 5326058.

It is an arithmetic number, because the mean of its divisors is an integer number (773364240).

Almost surely, 242943411656 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 42943411656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61869139200).

42943411656 is an abundant number, since it is smaller than the sum of its proper divisors (80794866744).

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

42943411656 is a wasteful number, since it uses less digits than its factorization.

42943411656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8321 (or 8308 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 42943411656 in words is "forty-two billion, nine hundred forty-three million, four hundred eleven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 191 216 258 324 344 382 387 516 573 648 764 774 1032 1146 1161 1528 1548 1719 2292 2322 3096 3438 3483 4584 4644 5157 6876 6966 8069 8213 9288 10314 13752 13932 15471 16138 16426 20628 24207 24639 27864 30942 32276 32852 41256 48414 49278 61884 64552 65704 72621 73917 96828 98556 123768 145242 147834 193656 197112 217863 221751 290484 295668 346967 435726 443502 580968 591336 653589 665253 693934 871452 887004 1040901 1307178 1330506 1387868 1541179 1742904 1774008 2081802 2614356 2661012 2775736 3082358 3122703 4163604 4623537 5228712 5322024 6164716 6245406 8327208 9247074 9368109 12329432 12490812 13870611 18494148 18736218 24981624 27741222 28104327 36988296 37472436 41611833 55482444 56208654 66270697 74944872 83223666 110964888 112417308 124835499 132541394 166447332 198812091 224834616 249670998 265082788 332894664 397624182 499341996 530165576 596436273 795248364 998683992 1192872546 1590496728 1789308819 2385745092 3578617638 4771490184 5367926457 7157235276 10735852914 14314470552 21471705828 42943411656