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1149346469376 = 29327337105733
BaseRepresentation
bin10000101110011010011…
…000110101011000000000
311001212122221011010212200
4100232122120311120000
5122312330144010001
62240000311353200
7146015606540130
oct20563230653000
94055587133780
101149346469376
11403487133896
12166901982800
13844c9328c91
143d8b30b8ac0
151ed6cca2086
hex10b9a635600

1149346469376 has 240 divisors, whose sum is σ = 3802247084064. Its totient is φ = 327407173632.

The previous prime is 1149346469371. The next prime is 1149346469389. The reversal of 1149346469376 is 6739646439411.

1149346469376 is a `hidden beast` number, since 1 + 1 + 49 + 3 + 464 + 69 + 3 + 76 = 666.

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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149346469371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10817406 + ... + 10923138.

Almost surely, 21149346469376 is an apocalyptic number.

1149346469376 is a gapful number since it is divisible by the number (16) 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 1149346469376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901123542032).

1149346469376 is an abundant number, since it is smaller than the sum of its proper divisors (2652900614688).

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

1149346469376 is a wasteful number, since it uses less digits than its factorization.

1149346469376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106101 (or 106082 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 1149346469376 in words is "one trillion, one hundred forty-nine billion, three hundred forty-six million, four hundred sixty-nine thousand, three hundred seventy-six".