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10934446512 = 24311173113917
BaseRepresentation
bin10100010111011111…
…00110100110110000
31001020001002102202110
422023233212212300
5134343204242022
65005003045320
7534652155543
oct121357464660
931201072673
1010934446512
114701234560
122151b10840
1310534849c2
1475a2c885a
1543ee4100c
hex28bbe69b0

10934446512 has 160 divisors (see below), whose sum is σ = 32741190144. Its totient is φ = 3107737600.

The previous prime is 10934446463. The next prime is 10934446531. The reversal of 10934446512 is 21564443901.

It is a super-2 number, since 2×109344465122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2789578 + ... + 2793494.

Almost surely, 210934446512 is an apocalyptic number.

10934446512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10934446512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370595072).

10934446512 is an abundant number, since it is smaller than the sum of its proper divisors (21806743632).

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

10934446512 is a wasteful number, since it uses less digits than its factorization.

10934446512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

It can be divided in two parts, 10934 and 446512, that added together give a triangular number (457446 = T956).

The spelling of 10934446512 in words is "ten billion, nine hundred thirty-four million, four hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 311 374 408 528 561 622 748 816 933 1122 1244 1496 1866 2244 2488 2992 3421 3732 3917 4488 4976 5287 6842 7464 7834 8976 10263 10574 11751 13684 14928 15668 15861 20526 21148 23502 27368 31336 31722 41052 42296 43087 47004 54736 58157 62672 63444 66589 82104 84592 86174 94008 116314 126888 129261 133178 164208 172348 174471 188016 199767 232628 253776 258522 266356 344696 348942 399534 465256 517044 532712 689392 697884 732479 799068 930512 1034088 1065424 1218187 1395768 1464958 1598136 2068176 2197437 2436374 2791536 2929916 3196272 3654561 4394874 4872748 5859832 7309122 8789748 9745496 11719664 13400057 14618244 17579496 19490992 20709179 26800114 29236488 35158992 40200171 41418358 53600228 58472976 62127537 80400342 82836716 107200456 124255074 160800684 165673432 214400912 227800969 248510148 321601368 331346864 455601938 497020296 643202736 683402907 911203876 994040592 1366805814 1822407752 2733611628 3644815504 5467223256 10934446512