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4942377678 = 23723311511093
BaseRepresentation
bin1001001101001011…
…01011001011001110
3110202102221210121010
410212211223023032
540110222041203
62134232150050
7233322342240
oct44645531316
913672853533
104942377678
112106930557
12b5b238326
13609c34c44
1434c582090
151ddd73303
hex12696b2ce

4942377678 has 128 divisors (see below), whose sum is σ = 12260081664. Its totient is φ = 1297296000.

The previous prime is 4942377653. The next prime is 4942377689. The reversal of 4942377678 is 8767732494.

It is a super-2 number, since 2×49423776782 = 48854194223985343368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4521300 + ... + 4522392.

It is an arithmetic number, because the mean of its divisors is an integer number (95781888).

Almost surely, 24942377678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4942377678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130040832).

4942377678 is an abundant number, since it is smaller than the sum of its proper divisors (7317703986).

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

4942377678 is a wasteful number, since it uses less digits than its factorization.

4942377678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310.

The product of its digits is 14224896, while the sum is 57.

The square root of 4942377678 is about 70302.0460441942. The cubic root of 4942377678 is about 1703.3816973879.

The spelling of 4942377678 in words is "four billion, nine hundred forty-two million, three hundred seventy-seven thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 69 93 138 151 161 186 217 302 322 434 453 483 651 713 906 966 1057 1093 1302 1426 2114 2139 2186 3171 3279 3473 4278 4681 4991 6342 6558 6946 7651 9362 9982 10419 14043 14973 15302 20838 22953 24311 25139 28086 29946 32767 33883 45906 48622 50278 65534 67766 72933 75417 98301 101649 107663 145866 150834 165043 175973 196602 203298 215326 237181 322989 330086 351946 474362 495129 527919 645978 711543 753641 779309 990258 1055838 1155301 1423086 1507282 1558618 2260923 2310602 2337927 3465903 3795989 4521846 4675854 5116333 5455163 6931806 7591978 10232666 10910326 11387967 15348999 16365489 22775934 26571923 30697998 32730978 35814331 53143846 71628662 79715769 107442993 117675659 159431538 214885986 235351318 353026977 706053954 823729613 1647459226 2471188839 4942377678