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274228063280640 = 2935572173143397
BaseRepresentation
bin111110010110100010110010…
…010011001001111000000000
31022221221221120020020120200000
4332112202302103021320000
5241420423033144440030
62411122344430400000
7111522216023014500
oct7626426223117000
91287857506216600
10274228063280640
117a41751767a357
122690b29b660000
13ba02798156481
144ba09cda0da00
1521a847ba7a860
hexf968b24c9e00

274228063280640 has 5760 divisors, whose sum is σ = 1284580589580288. Its totient is φ = 55622432194560.

The previous prime is 274228063280627. The next prime is 274228063280707. The reversal of 274228063280640 is 46082360822472.

274228063280640 is a `hidden beast` number, since 2 + 7 + 42 + 280 + 6 + 3 + 280 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 690750788922 + ... + 690750789318.

Almost surely, 2274228063280640 is an apocalyptic number.

274228063280640 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 274228063280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642290294790144).

274228063280640 is an abundant number, since it is smaller than the sum of its proper divisors (1010352526299648).

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

274228063280640 is a wasteful number, since it uses less digits than its factorization.

274228063280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 274228063280640 in words is "two hundred seventy-four trillion, two hundred twenty-eight billion, sixty-three million, two hundred eighty thousand, six hundred forty".