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20751891264 = 2632132213181
BaseRepresentation
bin10011010100111010…
…001011101101000000
31222120020100022011100
4103110322023231000
5314444441010024
613311105014400
71333152110466
oct232472135500
958506308140
1020751891264
1188899a1065
124031924400
131c593b5200
14100c0ca836
15816c8d7c9
hex4d4e8bb40

20751891264 has 126 divisors (see below), whose sum is σ = 64409317206. Its totient is φ = 6385167360.

The previous prime is 20751891233. The next prime is 20751891269. The reversal of 20751891264 is 46219815702.

20751891264 is a `hidden beast` number, since 2 + 0 + 7 + 518 + 9 + 126 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1654862400 + 19097028864 = 40680^2 + 138192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20751891269) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9247 + ... + 203934.

Almost surely, 220751891264 is an apocalyptic number.

20751891264 is a gapful number since it is divisible by the number (24) 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 20751891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32204658603).

20751891264 is an abundant number, since it is smaller than the sum of its proper divisors (43657425942).

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

20751891264 is a wasteful number, since it uses less digits than its factorization.

20751891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213225 (or 213199 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 20751891264 in words is "twenty billion, seven hundred fifty-one million, eight hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1014 1248 1352 1521 1872 2028 2496 2704 3042 3744 4056 5408 6084 7488 8112 10816 12168 16224 24336 32448 48672 97344 213181 426362 639543 852724 1279086 1705448 1918629 2558172 2771353 3410896 3837258 5116344 5542706 6821792 7674516 8314059 10232688 11085412 13643584 15349032 16628118 20465376 22170824 24942177 30698064 33256236 36027589 40930752 44341648 49884354 61396128 66512472 72055178 88683296 99768708 108082767 122792256 133024944 144110356 177366592 199537416 216165534 266049888 288220712 324248301 399074832 432331068 532099776 576441424 648496602 798149664 864662136 1152882848 1296993204 1596299328 1729324272 2305765696 2593986408 3458648544 5187972816 6917297088 10375945632 20751891264