Search a number
-
+
1093681736976 = 243291897341411
BaseRepresentation
bin11111110101001001000…
…00101110110100010000
310212112222120010202021010
433322210200232310100
5120404330011040401
62154232551130520
7142005311243433
oct17724440566420
93775876122233
101093681736976
11391911912514
12157b67973a40
137c197ab8aba
143ad122cd81a
151d6b0e4ced6
hexfea482ed10

1093681736976 has 80 divisors (see below), whose sum is σ = 2922994791360. Its totient is φ = 351962472960.

The previous prime is 1093681736971. The next prime is 1093681736993. The reversal of 1093681736976 is 6796371863901.

It is a super-2 number, since 2×10936817369762 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1093681736971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26389711 + ... + 26431121.

It is an arithmetic number, because the mean of its divisors is an integer number (36537434892).

Almost surely, 21093681736976 is an apocalyptic number.

1093681736976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1093681736976 is an abundant number, since it is smaller than the sum of its proper divisors (1829313054384).

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

1093681736976 is a wasteful number, since it uses less digits than its factorization.

1093681736976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60424 (or 60418 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 66.

The spelling of 1093681736976 in words is "one trillion, ninety-three billion, six hundred eighty-one million, seven hundred thirty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 18973 37946 41411 56919 75892 82822 113838 124233 151784 165644 227676 248466 303568 331288 455352 496932 550217 662576 910704 993864 1100434 1200919 1650651 1987728 2200868 2401838 3301302 3602757 4401736 4803676 6602604 7205514 8803472 9607352 13205208 14411028 19214704 26410416 28822056 57644112 785690903 1571381806 2357072709 3142763612 4714145418 6285527224 9428290836 12571054448 18856581672 22785036187 37713163344 45570072374 68355108561 91140144748 136710217122 182280289496 273420434244 364560578992 546840868488 1093681736976