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2038422672 = 2434111317647
BaseRepresentation
bin111100101111111…
…1101110010010000
312021001122121020000
41321133331302100
513133314011142
6534134250000
7101341210146
oct17137756220
95231577200
102038422672
11956700140
1248a7b6900
1326640ac80
14154a1b596
15bde5214c
hex797fdc90

2038422672 has 400 divisors, whose sum is σ = 7350279552. Its totient is φ = 535818240.

The previous prime is 2038422671. The next prime is 2038422677. The reversal of 2038422672 is 2762248302.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (2038422671) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3150253 + ... + 3150899.

Almost surely, 22038422672 is an apocalyptic number.

2038422672 is a gapful number since it is divisible by the number (22) 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 2038422672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675139776).

2038422672 is an abundant number, since it is smaller than the sum of its proper divisors (5311856880).

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

2038422672 is a wasteful number, since it uses less digits than its factorization.

2038422672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2038422672 is about 45148.8944715150. The cubic root of 2038422672 is about 1267.9381825921.

The spelling of 2038422672 in words is "two billion, thirty-eight million, four hundred twenty-two thousand, six hundred seventy-two".