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42634717650 = 23252735933767
BaseRepresentation
bin100111101101001110…
…100010100111010010
311002001021202001122200
4213231032202213102
51144303441431100
631330333544030
73036346056240
oct475516424722
9132037661580
1042634717650
1117099206448
12831a345016
134035b8c8a5
1420c6489790
151197e73e00
hex9ed3a29d2

42634717650 has 144 divisors (see below), whose sum is σ = 130980081024. Its totient is φ = 9739779840.

The previous prime is 42634717649. The next prime is 42634717669. The reversal of 42634717650 is 5671743624.

42634717650 is a `hidden beast` number, since 4 + 2 + 63 + 471 + 76 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 42634717596 and 42634717605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11316067 + ... + 11319833.

It is an arithmetic number, because the mean of its divisors is an integer number (909583896).

Almost surely, 242634717650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42634717650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65490040512).

42634717650 is an abundant number, since it is smaller than the sum of its proper divisors (88345363374).

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

42634717650 is a wasteful number, since it uses less digits than its factorization.

42634717650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7385 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 42634717650 in words is "forty-two billion, six hundred thirty-four million, seven hundred seventeen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 3593 3767 7186 7534 10779 11301 17965 18835 21558 22602 25151 26369 32337 33903 35930 37670 50302 52738 53895 56505 64674 67806 75453 79107 89825 94175 107790 113010 125755 131845 150906 158214 161685 169515 179650 188350 226359 237321 251510 263690 269475 282525 323370 339030 377265 395535 452718 474642 538950 565050 628775 659225 754530 791070 808425 847575 1131795 1186605 1257550 1318450 1616850 1695150 1886325 1977675 2263590 2373210 3772650 3955350 5658975 5933025 11317950 11866050 13534831 27069662 40604493 67674155 81208986 94743817 121813479 135348310 189487634 203022465 243626958 284231451 338370775 406044930 473719085 568462902 609067395 676741550 852694353 947438170 1015112325 1218134790 1421157255 1705388706 2030224650 2368595425 2842314510 3045336975 4263471765 4737190850 6090673950 7105786275 8526943530 14211572550 21317358825 42634717650