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2046016368 = 24331117193143
BaseRepresentation
bin111100111110011…
…1011101101110000
312021120221101211000
41321330323231300
513142240010433
6535005122000
7101462565204
oct17174735560
95246841730
102046016368
1195aa17420
12491259300
13267b69496
14155a36b04
15be952113
hex79f3bb70

2046016368 has 640 divisors, whose sum is σ = 7542374400. Its totient is φ = 522547200.

The previous prime is 2046016331. The next prime is 2046016373. The reversal of 2046016368 is 8636106402.

It is a super-2 number, since 2×20460163682 = 8372365956247822848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 47581755 + ... + 47581797.

It is an arithmetic number, because the mean of its divisors is an integer number (11784960).

Almost surely, 22046016368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2046016368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771187200).

2046016368 is an abundant number, since it is smaller than the sum of its proper divisors (5496358032).

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

2046016368 is a wasteful number, since it uses less digits than its factorization.

2046016368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2046016368 is about 45232.9124421588. The cubic root of 2046016368 is about 1269.5107065891.

The spelling of 2046016368 in words is "two billion, forty-six million, sixteen thousand, three hundred sixty-eight".