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2074360306368 = 263737353311807
BaseRepresentation
bin11110001011111001100…
…000100101101011000000
321100022021201212210201010
4132023321200211223000
5232441242214300433
64224540432240520
7302603403452130
oct36137140455300
97308251783633
102074360306368
1172a805350639
122960370a0140
131207c415475c
147258460aac0
1538e5b2d5e63
hex1e2f9825ac0

2074360306368 has 224 divisors, whose sum is σ = 6444365819904. Its totient is φ = 576444100608.

The previous prime is 2074360306303. The next prime is 2074360306379. The reversal of 2074360306368 is 8636030634702.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175683121 + ... + 175694927.

Almost surely, 22074360306368 is an apocalyptic number.

2074360306368 is a gapful number since it is divisible by the number (28) 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 2074360306368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222182909952).

2074360306368 is an abundant number, since it is smaller than the sum of its proper divisors (4370005513536).

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

2074360306368 is a wasteful number, since it uses less digits than its factorization.

2074360306368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15399 (or 15389 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 2074360306368 in words is "two trillion, seventy-four billion, three hundred sixty million, three hundred six thousand, three hundred sixty-eight".