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20746908432 = 24361979029
BaseRepresentation
bin10011010100100111…
…001011001100010000
31222112212222011000000
4103110213023030100
5314442202032212
613310410130000
71333061545335
oct232447131420
958485864000
1020746908432
1188870a8418
124030120900
131c5835c1a3
14100b59098c
158166071dc
hex4d49cb310

20746908432 has 140 divisors (see below), whose sum is σ = 60580771020. Its totient is φ = 6879769344.

The previous prime is 20746908407. The next prime is 20746908451. The reversal of 20746908432 is 23480964702.

20746908432 is a `hidden beast` number, since 207 + 4 + 6 + 9 + 0 + 8 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20570443776 + 176464656 = 143424^2 + 13284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2293294 + ... + 2302322.

It is an arithmetic number, because the mean of its divisors is an integer number (432719793).

Almost surely, 220746908432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20746908432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30290385510).

20746908432 is an abundant number, since it is smaller than the sum of its proper divisors (39833862588).

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

20746908432 is an equidigital number, since it uses as much as digits as its factorization.

20746908432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9252 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20746908432 in words is "twenty billion, seven hundred forty-six million, nine hundred eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 197 216 243 324 394 432 486 591 648 729 788 972 1182 1296 1458 1576 1773 1944 2364 2916 3152 3546 3888 4728 5319 5832 7092 9029 9456 10638 11664 14184 15957 18058 21276 27087 28368 31914 36116 42552 47871 54174 63828 72232 81261 85104 95742 108348 127656 143613 144464 162522 191484 216696 243783 255312 287226 325044 382968 433392 487566 574452 650088 731349 765936 975132 1148904 1300176 1462698 1778713 1950264 2194047 2297808 2925396 3557426 3900528 4388094 5336139 5850792 6582141 7114852 8776188 10672278 11701584 13164282 14229704 16008417 17552376 21344556 26328564 28459408 32016834 35104752 42689112 48025251 52657128 64033668 85378224 96050502 105314256 128067336 144075753 192101004 256134672 288151506 384202008 432227259 576303012 768404016 864454518 1152606024 1296681777 1728909036 2305212048 2593363554 3457818072 5186727108 6915636144 10373454216 20746908432