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20462468040 = 2332578120027
BaseRepresentation
bin10011000011101010…
…000111101111001000
31221211001202002010200
4103003222013233020
5313401342434130
613222245412200
71323036052140
oct230352075710
957731662120
1020462468040
118750591113
123b70a0a060
131c1144b671
14dc18ab920
157eb66d760
hex4c3a87bc8

20462468040 has 96 divisors (see below), whose sum is σ = 76003462080. Its totient is φ = 4677134976.

The previous prime is 20462468023. The next prime is 20462468071. The reversal of 20462468040 is 4086426402.

It is a happy number.

20462468040 is a `hidden beast` number, since 20 + 4 + 624 + 6 + 8 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20462467986 and 20462468004.

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 23 ways as a sum of consecutive naturals, for example, 4057494 + ... + 4062533.

It is an arithmetic number, because the mean of its divisors is an integer number (791702730).

Almost surely, 220462468040 is an apocalyptic number.

20462468040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20462468040 is an abundant number, since it is smaller than the sum of its proper divisors (55540994040).

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

20462468040 is a wasteful number, since it uses less digits than its factorization.

20462468040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120051 (or 8120044 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 20462468040 in words is "twenty billion, four hundred sixty-two million, four hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 8120027 16240054 24360081 32480108 40600135 48720162 56840189 64960216 73080243 81200270 97440324 113680378 121800405 146160486 162400540 170520567 194880648 227360756 243600810 284200945 292320972 324801080 341041134 365401215 454721512 487201620 511561701 568401890 584641944 682082268 730802430 852602835 974403240 1023123402 1136803780 1364164536 1461604860 1705205670 2046246804 2273607560 2557808505 2923209720 3410411340 4092493608 5115617010 6820822680 10231234020 20462468040