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1992156544 = 27724161127
BaseRepresentation
bin111011010111101…
…1110010110000000
312010211121001000201
41312233132112000
513034443002134
6525402454544
7100240023400
oct16657362600
95124531021
101992156544
1193257a774
12477204454
1325995c271
1414c816800
15b9d63914
hex76bde580

1992156544 has 192 divisors, whose sum is σ = 4844689920. Its totient is φ = 812851200.

The previous prime is 1992156539. The next prime is 1992156571. The reversal of 1992156544 is 4456512991.

It is a junction number, because it is equal to n+sod(n) for n = 1992156494 and 1992156503.

It is a congruent number.

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, 15686209 + ... + 15686335.

It is an arithmetic number, because the mean of its divisors is an integer number (25232760).

Almost surely, 21992156544 is an apocalyptic number.

1992156544 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 1992156544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422344960).

1992156544 is an abundant number, since it is smaller than the sum of its proper divisors (2852533376).

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

1992156544 is a wasteful number, since it uses less digits than its factorization.

1992156544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its digits is 388800, while the sum is 46.

The square root of 1992156544 is about 44633.5809004834. The cubic root of 1992156544 is about 1258.2718695804.

The spelling of 1992156544 in words is "one billion, nine hundred ninety-two million, one hundred fifty-six thousand, five hundred forty-four".