Search a number
-
+
1019841974976 = 263114311229761
BaseRepresentation
bin11101101011100110101…
…00011001001011000000
310121111101112121012011010
432311303110121023000
5113202114021144401
62100301532520520
7133452430520406
oct16656324311300
93544345535133
101019841974976
11363570231420
1214579b020140
137522acc4936
1437509755476
151b7dd6b9ed6
hexed735192c0

1019841974976 has 112 divisors (see below), whose sum is σ = 3012091682688. Its totient is φ = 301855948800.

The previous prime is 1019841974969. The next prime is 1019841975029. The reversal of 1019841974976 is 6794791489101.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

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, 5524065 + ... + 5705696.

Almost surely, 21019841974976 is an apocalyptic number.

1019841974976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1019841974976 is an abundant number, since it is smaller than the sum of its proper divisors (1992249707712).

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

1019841974976 is a wasteful number, since it uses less digits than its factorization.

1019841974976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229830 (or 11229820 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 66.

The spelling of 1019841974976 in words is "one trillion, nineteen billion, eight hundred forty-one million, nine hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 129 132 172 176 192 258 264 344 352 473 516 528 688 704 946 1032 1056 1376 1419 1892 2064 2112 2752 2838 3784 4128 5676 7568 8256 11352 15136 22704 30272 45408 90816 11229761 22459522 33689283 44919044 67378566 89838088 123527371 134757132 179676176 247054742 269514264 359352352 370582113 482879723 494109484 539028528 718704704 741164226 965759446 988218968 1078057056 1448639169 1482328452 1931518892 1976437936 2156114112 2897278338 2964656904 3863037784 3952875872 5311676953 5794556676 5929313808 7726075568 7905751744 10623353906 11589113352 11858627616 15452151136 15935030859 21246707812 23178226704 23717255232 30904302272 31870061718 42493415624 46356453408 63740123436 84986831248 92712906816 127480246872 169973662496 254960493744 339947324992 509920987488 1019841974976