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2934478046900 = 2252171726163557
BaseRepresentation
bin101010101100111100100…
…001011000011010110100
3101101112101211011012002102
4222230330201120122310
5341034302340000100
610124025224401232
7422003046562541
oct52547441303264
911345354135072
102934478046900
11a315613a0614
123b487a916218
1318394907395a
14a205ad13bc8
15514ec336cd5
hex2ab3c8586b4

2934478046900 has 36 divisors (see below), whose sum is σ = 6742394857548. Its totient is φ = 1104744675840.

The previous prime is 2934478046893. The next prime is 2934478046909. The reversal of 2934478046900 is 96408744392.

It can be written as a sum of positive squares in 6 ways, for example, as 157142473744 + 2777335573156 = 396412^2 + 1666534^2 .

It is a super-2 number, since 2×29344780469002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934478046909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863080079 + ... + 863083478.

It is an arithmetic number, because the mean of its divisors is an integer number (187288746043).

Almost surely, 22934478046900 is an apocalyptic number.

2934478046900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2934478046900 is an abundant number, since it is smaller than the sum of its proper divisors (3807916810648).

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

2934478046900 is a wasteful number, since it uses less digits than its factorization.

2934478046900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726163588 (or 1726163581 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 56.

The spelling of 2934478046900 in words is "two trillion, nine hundred thirty-four billion, four hundred seventy-eight million, forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1726163557 3452327114 6904654228 8630817785 17261635570 29344780469 34523271140 43154088925 58689560938 86308177850 117379121876 146723902345 172616355700 293447804690 586895609380 733619511725 1467239023450 2934478046900