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1920687876324 = 2234719411087117
BaseRepresentation
bin11011111100110001111…
…010110010100011100100
320210121122001002111220000
4123330301322302203210
5222432032044020244
64030203554541300
7255523302401550
oct33746172624344
96717561074800
101920687876324
11680617263438
122702aa597830
1310c173ab5589
1468d67214860
1534e650d9169
hex1bf31eb28e4

1920687876324 has 240 divisors, whose sum is σ = 6187701717120. Its totient is φ = 507204840960.

The previous prime is 1920687876287. The next prime is 1920687876353. The reversal of 1920687876324 is 4236787860291.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1223214 + ... + 2310330.

It is an arithmetic number, because the mean of its divisors is an integer number (25782090488).

Almost surely, 21920687876324 is an apocalyptic number.

1920687876324 is a gapful number since it is divisible by the number (14) 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 1920687876324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093850858560).

1920687876324 is an abundant number, since it is smaller than the sum of its proper divisors (4267013840796).

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

1920687876324 is a wasteful number, since it uses less digits than its factorization.

1920687876324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087200 (or 1087189 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 1920687876324 in words is "one trillion, nine hundred twenty billion, six hundred eighty-seven million, eight hundred seventy-six thousand, three hundred twenty-four".