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2949482696160 = 2535711138217477
BaseRepresentation
bin101010111010111010110…
…111100100110111100000
3101102222010112001100100210
4222322322313210313200
5341311020032234120
610134550150214120
7423043634154630
oct52727267446740
911388115040323
102949482696160
11a379610a86a0
123b7767954340
1318519a859c40
14a2a819c86c0
1551ac9768ce0
hex2aebade4de0

2949482696160 has 768 divisors, whose sum is σ = 12491320117248. Its totient is φ = 564970291200.

The previous prime is 2949482696119. The next prime is 2949482696183. The reversal of 2949482696160 is 616962849492.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2949482696091 and 2949482696100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 394470342 + ... + 394477818.

It is an arithmetic number, because the mean of its divisors is an integer number (16264739736).

Almost surely, 22949482696160 is an apocalyptic number.

2949482696160 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 2949482696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245660058624).

2949482696160 is an abundant number, since it is smaller than the sum of its proper divisors (9541837421088).

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

2949482696160 is a wasteful number, since it uses less digits than its factorization.

2949482696160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8347 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 66.

The spelling of 2949482696160 in words is "two trillion, nine hundred forty-nine billion, four hundred eighty-two million, six hundred ninety-six thousand, one hundred sixty".