Search a number
-
+
76831669552 = 24117312747087
BaseRepresentation
bin100011110001110000…
…1100011110100110000
321100022112100012200211
41013203201203310300
52224322401411202
655143533153504
75356650262411
oct1074341436460
9240275305624
1076831669552
112a647524570
1212a8292b894
137325904181
143a0c075808
151eea2791d7
hex11e3863d30

76831669552 has 80 divisors (see below), whose sum is σ = 165918523392. Its totient is φ = 34173135360.

The previous prime is 76831669529. The next prime is 76831669573. The reversal of 76831669552 is 25596613867.

It is a super-2 number, since 2×768316695522 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1608153 + ... + 1655239.

Almost surely, 276831669552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76831669552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82959261696).

76831669552 is an abundant number, since it is smaller than the sum of its proper divisors (89086853840).

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

76831669552 is a wasteful number, since it uses less digits than its factorization.

76831669552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47306 (or 47300 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 58.

The spelling of 76831669552 in words is "seventy-six billion, eight hundred thirty-one million, six hundred sixty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 73 88 127 146 176 254 292 508 584 803 1016 1168 1397 1606 2032 2794 3212 5588 6424 9271 11176 12848 18542 22352 37084 47087 74168 94174 101981 148336 188348 203962 376696 407924 517957 753392 815848 1035914 1631696 2071828 3437351 4143656 5980049 6874702 8287312 11960098 13749404 23920196 27498808 37810861 47840392 54997616 65780539 75621722 95680784 131561078 151243444 263122156 302486888 436543577 526244312 604973776 873087154 1052488624 1746174308 3492348616 4801979347 6984697232 9603958694 19207917388 38415834776 76831669552