Search a number
-
+
505974381768 = 2332223143321991
BaseRepresentation
bin1110101110011100110…
…11000101110011001000
31210101000020001202022100
413113032123011303020
531242213420204033
61024235202553400
751361342166112
oct7271633056310
91711006052270
10505974381768
11185645390999
1282089968860
1338936b1710b
141a6bc8843b2
15d2653aa513
hex75ce6c5cc8

505974381768 has 96 divisors (see below), whose sum is σ = 1377515543040. Its totient is φ = 167777015040.

The previous prime is 505974381751. The next prime is 505974381779. The reversal of 505974381768 is 867183479505.

505974381768 is a `hidden beast` number, since 5 + 0 + 597 + 4 + 38 + 1 + 7 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22997253 + ... + 23019243.

It is an arithmetic number, because the mean of its divisors is an integer number (14349120240).

Almost surely, 2505974381768 is an apocalyptic number.

It is an amenable number.

505974381768 is an abundant number, since it is smaller than the sum of its proper divisors (871541161272).

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

505974381768 is a wasteful number, since it uses less digits than its factorization.

505974381768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23659 (or 23652 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 505974381768 in words is "five hundred five billion, nine hundred seventy-four million, three hundred eighty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1433 1784 2007 2676 2866 4014 4299 5352 5732 8028 8598 11464 12897 16056 17196 21991 25794 34392 43982 51588 65973 87964 103176 131946 175928 197919 263892 319559 395838 527784 639118 791676 958677 1278236 1583352 1917354 2556472 2876031 3834708 4903993 5752062 7669416 9807986 11504124 14711979 19615972 23008248 29423958 31513103 39231944 44135937 58847916 63026206 88271874 94539309 117695832 126052412 176543748 189078618 252104824 283617927 353087496 378157236 567235854 756314472 1134471708 2268943416 7027421969 14054843938 21082265907 28109687876 42164531814 56219375752 63246797721 84329063628 126493595442 168658127256 252987190884 505974381768