Search a number
-
+
76283335050 = 23521382347533
BaseRepresentation
bin100011100001011010…
…1110101000110001010
321021220022112221011120
41013002311311012022
52222212013210200
655013304340110
75340241435506
oct1070265650612
9237808487146
1076283335050
112a395a5475a
121294b174636
137269127aa0
1439992db306
151eb70649a0
hex11c2d7518a

76283335050 has 96 divisors (see below), whose sum is σ = 203987027328. Its totient is φ = 18754225920.

The previous prime is 76283335039. The next prime is 76283335067. The reversal of 76283335050 is 5053338267.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76283334993 and 76283335011.

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 47 ways as a sum of consecutive naturals, for example, 1581084 + ... + 1628616.

It is an arithmetic number, because the mean of its divisors is an integer number (2124864868).

Almost surely, 276283335050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76283335050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101993513664).

76283335050 is an abundant number, since it is smaller than the sum of its proper divisors (127703692278).

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

76283335050 is a wasteful number, since it uses less digits than its factorization.

76283335050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48384 (or 48379 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 76283335050 in words is "seventy-six billion, two hundred eighty-three million, three hundred thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 823 975 1646 1950 2469 4115 4938 8230 10699 12345 20575 21398 24690 32097 41150 47533 53495 61725 64194 95066 106990 123450 142599 160485 237665 267475 285198 320970 475330 534950 617929 712995 802425 1188325 1235858 1425990 1604850 1853787 2376650 3089645 3564975 3707574 6179290 7129950 9268935 15448225 18537870 30896450 39119659 46344675 78239318 92689350 117358977 195598295 234717954 391196590 508555567 586794885 977991475 1017111134 1173589770 1525666701 1955982950 2542777835 2933974425 3051333402 5085555670 5867948850 7628333505 12713889175 15256667010 25427778350 38141667525 76283335050