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647680505796 = 2232113211872
BaseRepresentation
bin10010110110011001100…
…01000011011111000100
32021220202222010201020100
421123030301003133010
541102422202141141
61213312413004100
764536061315002
oct11331461033704
92256688121210
10647680505796
1122a752840295
12a5636a83630
13490cacbac4c
14234c290da72
1511caac900b6
hex96ccc437c4

647680505796 has 81 divisors (see below), whose sum is σ = 1653201789421. Its totient is φ = 213802667904.

The previous prime is 647680505789. The next prime is 647680505831. The reversal of 647680505796 is 697505086746.

The square root of 647680505796 is 804786.

It is a perfect power (a square), and thus also a powerful number.

647680505796 is a `hidden beast` number, since 6 + 4 + 7 + 6 + 8 + 0 + 50 + 579 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11412648900 + 636267856896 = 106830^2 + 797664^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 545644315 + ... + 545645501.

Almost surely, 2647680505796 is an apocalyptic number.

647680505796 is the 804786-th square number.

It is an amenable number.

647680505796 is an abundant number, since it is smaller than the sum of its proper divisors (1005521283625).

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

647680505796 is a wasteful number, since it uses less digits than its factorization.

647680505796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

It can be divided in two parts, 647680 and 505796, that added together give a square (1153476 = 10742).

The spelling of 647680505796 in words is "six hundred forty-seven billion, six hundred eighty million, five hundred five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1187 1356 2034 2374 3561 4068 4748 7122 10683 12769 14244 21366 25538 38307 42732 51076 76614 114921 134131 153228 229842 268262 402393 459684 536524 804786 1207179 1408969 1609572 2414358 2817938 4226907 4828716 5635876 8453814 12680721 15156803 16907628 25361442 30313606 45470409 50722884 60627212 90940818 136411227 159213497 181881636 272822454 318426994 477640491 545644908 636853988 955280982 1432921473 1910561964 2865842946 5731685892 17991125161 35982250322 53973375483 71964500644 107946750966 161920126449 215893501932 323840252898 647680505796