Search a number
-
+
42832301568 = 29378274817
BaseRepresentation
bin100111111001000000…
…010000111000000000
311002120001112100211120
4213321000100320000
51200210032122233
631402112512240
73044265361530
oct477100207000
9132501470746
1042832301568
111718a799141
12837454b680
134067aac254
1421047dd4c0
1511aa4a24b3
hex9f9010e00

42832301568 has 160 divisors (see below), whose sum is σ = 130593855744. Its totient is φ = 12220465152.

The previous prime is 42832301507. The next prime is 42832301581. The reversal of 42832301568 is 86510323824.

It is a super-2 number, since 2×428323015682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8889496 + ... + 8894312.

Almost surely, 242832301568 is an apocalyptic number.

42832301568 is a gapful number since it is divisible by the number (48) 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 42832301568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65296927872).

42832301568 is an abundant number, since it is smaller than the sum of its proper divisors (87761554176).

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

42832301568 is an equidigital number, since it uses as much as digits as its factorization.

42832301568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 42832301568 in words is "forty-two billion, eight hundred thirty-two million, three hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 827 896 1344 1536 1654 1792 2481 2688 3308 3584 4817 4962 5376 5789 6616 9634 9924 10752 11578 13232 14451 17367 19268 19848 23156 26464 28902 33719 34734 38536 39696 46312 52928 57804 67438 69468 77072 79392 92624 101157 105856 115608 134876 138936 154144 158784 185248 202314 211712 231216 269752 277872 308288 317568 370496 404628 423424 462432 539504 555744 616576 635136 740992 809256 924864 1079008 1111488 1233152 1270272 1481984 1618512 1849728 2158016 2222976 2466304 2963968 3237024 3699456 3983659 4316032 4445952 6474048 7398912 7967318 8632064 8891904 11950977 12948096 15934636 17264128 23901954 25896192 27885613 31869272 47803908 51792384 55771226 63738544 83656839 95607816 111542452 127477088 167313678 191215632 223084904 254954176 334627356 382431264 446169808 509908352 669254712 764862528 892339616 1019816704 1338509424 1529725056 1784679232 2039633408 2677018848 3059450112 3569358464 5354037696 6118900224 7138716928 10708075392 14277433856 21416150784 42832301568