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42287228250 = 2353612333967
BaseRepresentation
bin100111011000100000…
…111110010101011010
311001011001212202210220
4213120200332111122
51143101012301000
631232042020510
73024626336511
oct473040762532
9131131782726
1042287228250
1116a30046523
128241aa7736
133cabba5367
142092273678
1511776d41a0
hex9d883e55a

42287228250 has 128 divisors (see below), whose sum is σ = 107766816768. Its totient is φ = 11041344000.

The previous prime is 42287228237. The next prime is 42287228261. The reversal of 42287228250 is 5282278224.

42287228250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10657767 + ... + 10661733.

It is an arithmetic number, because the mean of its divisors is an integer number (841928256).

Almost surely, 242287228250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42287228250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53883408384).

42287228250 is an abundant number, since it is smaller than the sum of its proper divisors (65479588518).

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

42287228250 is a wasteful number, since it uses less digits than its factorization.

42287228250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 42287228250 in words is "forty-two billion, two hundred eighty-seven million, two hundred twenty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 125 150 183 233 250 305 366 375 466 610 699 750 915 1165 1398 1525 1830 2330 3050 3495 3967 4575 5825 6990 7625 7934 9150 11650 11901 14213 15250 17475 19835 22875 23802 28426 29125 34950 39670 42639 45750 58250 59505 71065 85278 87375 99175 119010 142130 174750 198350 213195 241987 297525 355325 426390 483974 495875 595050 710650 725961 924311 991750 1065975 1209935 1451922 1487625 1776625 1848622 2131950 2419870 2772933 2975250 3553250 3629805 4621555 5329875 5545866 6049675 7259610 9243110 10659750 12099350 13864665 18149025 23107775 27729330 30248375 36298050 46215550 56382971 60496750 69323325 90745125 112765942 115538875 138646650 169148913 181490250 231077750 281914855 338297826 346616625 563829710 693233250 845744565 1409574275 1691489130 2819148550 4228722825 7047871375 8457445650 14095742750 21143614125 42287228250