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20240665305256 = 2311676015712061
BaseRepresentation
bin1001001101000101001011…
…01010100110000010101000
32122122222200202200201220001
410212202211222212002220
510123110340304232011
6111014233330512344
74156224361250104
oct446424552460250
978588622621801
1020240665305256
1164a4021989a30
12232a939a356b4
13b3a8c04679c6
144dd921012904
1525178d40e7c1
hex1268a5aa60a8

20240665305256 has 64 divisors (see below), whose sum is σ = 42089214605760. Its totient is φ = 9047903040000.

The previous prime is 20240665305209. The next prime is 20240665305353. The reversal of 20240665305256 is 65250356604202.

It is a super-2 number, since 2×202406653052562 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687466 + ... + 6399526.

It is an arithmetic number, because the mean of its divisors is an integer number (657643978215).

Almost surely, 220240665305256 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 20240665305256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21044607302880).

20240665305256 is an abundant number, since it is smaller than the sum of its proper divisors (21848549300504).

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

20240665305256 is a wasteful number, since it uses less digits than its factorization.

20240665305256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712746 (or 5712742 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 20240665305256 in words is "twenty trillion, two hundred forty billion, six hundred sixty-five million, three hundred five thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 601 737 1202 1474 2404 2948 4808 5896 6611 13222 26444 40267 52888 80534 161068 322136 442937 885874 1771748 3543496 5712061 11424122 22848244 45696488 62832671 125665342 251330684 382708087 502661368 765416174 1530832348 3061664696 3432948661 4209788957 6865897322 8419577914 13731794644 16839155828 27463589288 33678311656 37762435271 75524870542 151049741084 230007560287 302099482168 460015120574 920030241148 1840060482296 2530083163157 5060166326314 10120332652628 20240665305256