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1988074620081 = 32112427272
BaseRepresentation
bin11100111011100010011…
…110110100010010110001
321001001120100010210010100
4130323202132310102301
5230033034100320311
64121150414423013
7263430225306414
oct34734236642261
97031510123110
101988074620081
116a7157326400
12281376201a69
131156229c8254
146c31ab37b7b
1536aab09ba56
hex1cee27b44b1

1988074620081 has 27 divisors (see below), whose sum is σ = 3156530275353. Its totient is φ = 1204865509320.

The previous prime is 1988074620071. The next prime is 1988074620083. The reversal of 1988074620081 is 1800264708891.

The square root of 1988074620081 is 1409991.

It is a perfect power (a square), and thus also a powerful number.

1988074620081 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 0 + 7 + 4 + 620 + 0 + 8 + 1 = 666.

It is not a de Polignac number, because 1988074620081 - 215 = 1988074587313 is a prime.

It is a super-2 number, since 2×19880746200812 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1988074620083) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46508340 + ... + 46551066.

Almost surely, 21988074620081 is an apocalyptic number.

1988074620081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1988074620081 is the 1409991-st square number.

1988074620081 is the 704996-th centered octagonal number.

It is an amenable number.

1988074620081 is a deficient number, since it is larger than the sum of its proper divisors (1168455655272).

1988074620081 is an frugal number, since it uses more digits than its factorization.

1988074620081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85482 (or 42741 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1988074620081 in words is "one trillion, nine hundred eighty-eight billion, seventy-four million, six hundred twenty thousand, eighty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 42727 128181 384543 469997 1409991 4229973 5169967 15509901 46529703 1825596529 5476789587 16430368761 20081561819 60244685457 180734056371 220897180009 662691540027 1988074620081