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20496506916480 = 273572171947113127
BaseRepresentation
bin1001010100100001101110…
…00000111000111010000000
32200120110001210211012010120
410222100313000320322000
510141303321232311410
6111331544300300240
74213552356126300
oct452206700707200
980513053735116
1020496506916480
1165925798a2151
12237043a841680
13b58a7384738a
1450c0715a3600
15258263ec6570
hex12a437038e80

20496506916480 has 3072 divisors, whose sum is σ = 87959922278400. Its totient is φ = 4020297007104.

The previous prime is 20496506916439. The next prime is 20496506916517. The reversal of 20496506916480 is 8461960569402.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 383 ways as a sum of consecutive naturals, for example, 161389818177 + ... + 161389818303.

It is an arithmetic number, because the mean of its divisors is an integer number (28632787200).

Almost surely, 220496506916480 is an apocalyptic number.

20496506916480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20496506916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43979961139200).

20496506916480 is an abundant number, since it is smaller than the sum of its proper divisors (67463415361920).

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

20496506916480 is a wasteful number, since it uses less digits than its factorization.

20496506916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 20496506916480 in words is "twenty trillion, four hundred ninety-six billion, five hundred six million, nine hundred sixteen thousand, four hundred eighty".