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42850447460656 = 24112333742174611
BaseRepresentation
bin10011011111000111001011…
…01100110000100100110000
312121201110111100201010111221
421233203211230300210300
521104030204022220111
6231045120201514424
712011562014511433
oct1157434554604460
9177643440633457
1042850447460656
11127208555344a0
1249808541a2a14
131abaa1a466124
14a81d8921b81a
154e4989cbc371
hex26f8e5b30930

42850447460656 has 160 divisors (see below), whose sum is σ = 95014965367296. Its totient is φ = 18530975232000.

The previous prime is 42850447460647. The next prime is 42850447460663. The reversal of 42850447460656 is 65606474405824.

It is a junction number, because it is equal to n+sod(n) for n = 42850447460594 and 42850447460603.

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, 574280791 + ... + 574355401.

Almost surely, 242850447460656 is an apocalyptic number.

42850447460656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42850447460656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47507482683648).

42850447460656 is an abundant number, since it is smaller than the sum of its proper divisors (52164517906640).

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

42850447460656 is a wasteful number, since it uses less digits than its factorization.

42850447460656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75411 (or 75405 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 61.

The spelling of 42850447460656 in words is "forty-two trillion, eight hundred fifty billion, four hundred forty-seven million, four hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 337 368 421 506 674 842 1012 1348 1684 2024 2696 3368 3707 4048 4631 5392 6736 7414 7751 9262 9683 14828 15502 18524 19366 29656 31004 37048 38732 59312 62008 74096 74611 77464 85261 106513 124016 141877 149222 154928 170522 213026 283754 298444 341044 426052 567508 596888 682088 820721 852104 1135016 1193776 1364176 1560647 1641442 1704208 1716053 2270032 3121294 3263171 3282884 3432106 6242588 6526342 6565768 6864212 12485176 13052684 13131536 13728424 18876583 24970352 25143907 26105368 27456848 31411231 35894881 37753166 50287814 52210736 62822462 71789762 75506332 100575628 125644924 143579524 151012664 201151256 251289848 276582977 287159048 302025328 345523541 402302512 502579696 553165954 574318096 578309861 691047082 722458313 1106331908 1156619722 1382094164 1444916626 2212663816 2313239444 2764188328 2889833252 4425327632 4626478888 5528376656 5779666504 6361408471 7947041443 9252957776 10585584847 11559333008 12722816942 15894082886 21171169694 25445633884 31788165772 42342339388 50891267768 63576331544 84684678776 101782535536 116441433317 127152663088 169369357552 232882866634 243468451481 465765733268 486936902962 931531466536 973873805924 1863062933072 1947747611848 2678152966291 3895495223696 5356305932582 10712611865164 21425223730328 42850447460656