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20719864074000 = 2435371322919113
BaseRepresentation
bin1001011011000001110000…
…01000110100111100010000
32201100210120221201102020010
410231200320020310330100
510203433240200332000
6112022324003314520
74235650355500410
oct455407010647420
981323527642203
1020719864074000
116669277116513
1223a779467ba40
13b73b4ac16700
14518bbd784640
1525de87ca9d50
hex12d838234f10

20719864074000 has 480 divisors, whose sum is σ = 82668187540224. Its totient is φ = 4371662131200.

The previous prime is 20719864073983. The next prime is 20719864074001. The reversal of 20719864074000 is 47046891702.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20719864074001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5638444 + ... + 8557556.

Almost surely, 220719864074000 is an apocalyptic number.

20719864074000 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 20719864074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41334093770112).

20719864074000 is an abundant number, since it is smaller than the sum of its proper divisors (61948323466224).

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

20719864074000 is a wasteful number, since it uses less digits than its factorization.

20719864074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919172 (or 2919143 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 20719864074000 in words is "twenty trillion, seven hundred nineteen billion, eight hundred sixty-four million, seventy-four thousand".