Search a number
-
+
2051478696960 = 210335711316217
BaseRepresentation
bin11101110110100101101…
…010001011010000000000
321021010020002002121111000
4131312211222023100000
5232102412021300320
64210234124052000
7301133361131460
oct35664552132000
97233202077430
102051478696960
11721033273840
12291710094000
1311b5b8777ac4
1471413739ba0
153856c5aec90
hex1dda5a8b400

2051478696960 has 1408 divisors, whose sum is σ = 9384281210880. Its totient is φ = 412463923200.

The previous prime is 2051478696901. The next prime is 2051478696989. The reversal of 2051478696960 is 696968741502.

2051478696960 is a `hidden beast` number, since 20 + 51 + 478 + 6 + 9 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 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, 329975772 + ... + 329981988.

Almost surely, 22051478696960 is an apocalyptic number.

2051478696960 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 2051478696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692140605440).

2051478696960 is an abundant number, since it is smaller than the sum of its proper divisors (7332802513920).

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

2051478696960 is a wasteful number, since it uses less digits than its factorization.

2051478696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 2051478696960 in words is "two trillion, fifty-one billion, four hundred seventy-eight million, six hundred ninety-six thousand, nine hundred sixty".