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420468842688 = 26313229165541
BaseRepresentation
bin1100001111001011110…
…01010110000011000000
31111012022012022022111120
412013211321112003000
523342110010431223
6521054414312240
742243416123136
oct6074571260300
91435265268446
10420468842688
11152357777914
12695a61b8680
133085b1ac38b
14164ca84d756
15ae0d8c5be3
hex61e5e560c0

420468842688 has 56 divisors (see below), whose sum is σ = 1112581295280. Its totient is φ = 140144839680.

The previous prime is 420468842663. The next prime is 420468842701. The reversal of 420468842688 is 886248864024.

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 7 ways as a sum of consecutive naturals, for example, 2457198 + ... + 2622738.

It is an arithmetic number, because the mean of its divisors is an integer number (19867523130).

Almost surely, 2420468842688 is an apocalyptic number.

420468842688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420468842688 is an abundant number, since it is smaller than the sum of its proper divisors (692112452592).

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

420468842688 is a wasteful number, since it uses less digits than its factorization.

420468842688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178785 (or 178775 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 60.

The spelling of 420468842688 in words is "four hundred twenty billion, four hundred sixty-eight million, eight hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 13229 26458 39687 52916 79374 105832 158748 165541 211664 317496 331082 423328 496623 634992 662164 846656 993246 1269984 1324328 1986492 2539968 2648656 3972984 5297312 7945968 10594624 15891936 31783872 2189941889 4379883778 6569825667 8759767556 13139651334 17519535112 26279302668 35039070224 52558605336 70078140448 105117210672 140156280896 210234421344 420468842688