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1077673337004 = 2231119439992891
BaseRepresentation
bin11111010111010100101…
…01100010000010101100
310211000122220111202212110
433223222111202002230
5120124033333241004
62143024251404020
7140600515136415
oct17535225420254
93730586452773
101077673337004
1138604755a6a0
12154a3a753610
137a816381394
143a2341b280c
151d075848589
hexfaea5620ac

1077673337004 has 96 divisors (see below), whose sum is σ = 2954698306560. Its totient is φ = 302184993600.

The previous prime is 1077673336991. The next prime is 1077673337009. The reversal of 1077673337004 is 4007333767701.

1077673337004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10776733370042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1077673337009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4888602 + ... + 5104289.

It is an arithmetic number, because the mean of its divisors is an integer number (30778107360).

Almost surely, 21077673337004 is an apocalyptic number.

It is an amenable number.

1077673337004 is an abundant number, since it is smaller than the sum of its proper divisors (1877024969556).

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

1077673337004 is a wasteful number, since it uses less digits than its factorization.

1077673337004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992971 (or 9992969 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 48.

The spelling of 1077673337004 in words is "one trillion, seventy-seven billion, six hundred seventy-three million, three hundred thirty-seven thousand, four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 43 44 57 66 76 86 114 129 132 172 209 228 258 418 473 516 627 817 836 946 1254 1419 1634 1892 2451 2508 2838 3268 4902 5676 8987 9804 17974 26961 35948 53922 107844 9992891 19985782 29978673 39971564 59957346 109921801 119914692 189864929 219843602 329765403 379729858 429694313 439687204 569594787 659530806 759459716 859388626 1139189574 1289082939 1319061612 1718777252 2088514219 2278379148 2578165878 4177028438 4726637443 5156331756 6265542657 8164191947 8354056876 9453274886 12531085314 14179912329 16328383894 18906549772 24492575841 25062170628 28359824658 32656767788 48985151682 56719649316 89806111417 97970303364 179612222834 269418334251 359224445668 538836668502 1077673337004