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20461668336 = 2433431101511
BaseRepresentation
bin10011000011100111…
…000100011111110000
31221211000020110011000
4103003213010133300
5313401141341321
613222220322000
71323026211504
oct230347043760
957730213130
1020461668336
1187500952aa
123b706a3300
131c1122b675
14dc1740304
157eb561826
hex4c39c47f0

20461668336 has 80 divisors (see below), whose sum is σ = 60098494720. Its totient is φ = 6661932480.

The previous prime is 20461668329. The next prime is 20461668349. The reversal of 20461668336 is 63386616402.

20461668336 is a `hidden beast` number, since 20 + 4 + 616 + 6 + 8 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20461668291 and 20461668300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532180 + ... + 569331.

It is an arithmetic number, because the mean of its divisors is an integer number (751231184).

Almost surely, 220461668336 is an apocalyptic number.

It is an amenable number.

20461668336 is an abundant number, since it is smaller than the sum of its proper divisors (39636826384).

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

20461668336 is a wasteful number, since it uses less digits than its factorization.

20461668336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101571 (or 1101559 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

It can be divided in two parts, 2046166 and 8336, that added together give a palindrome (2054502).

The spelling of 20461668336 in words is "twenty billion, four hundred sixty-one million, six hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 9288 18576 1101511 2203022 3304533 4406044 6609066 8812088 9913599 13218132 17624176 19827198 26436264 29740797 39654396 47364973 52872528 59481594 79308792 94729946 118963188 142094919 158617584 189459892 237926376 284189838 378919784 426284757 475852752 568379676 757839568 852569514 1136759352 1278854271 1705139028 2273518704 2557708542 3410278056 5115417084 6820556112 10230834168 20461668336