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4622051622144 = 2831131374311093
BaseRepresentation
bin100001101000010011110…
…1111101011110100000000
3121100212022201120020011110
41003100213233223310000
51101211430203402034
613455201411043320
7654634514361525
oct103204757536400
917325281506143
104622051622144
11152222370a280
1262794b8a0540
13276b1c1b0768
1411d9cc16114c
158036bc51de9
hex43427bebd00

4622051622144 has 576 divisors, whose sum is σ = 14559167766528. Its totient is φ = 1288020787200.

The previous prime is 4622051622121. The next prime is 4622051622157. The reversal of 4622051622144 is 4412261502264.

It is a super-2 number, since 2×46220516221442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416658262 + ... + 416669354.

It is an arithmetic number, because the mean of its divisors is an integer number (25276332928).

Almost surely, 24622051622144 is an apocalyptic number.

4622051622144 is a gapful number since it is divisible by the number (44) 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 4622051622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279583883264).

4622051622144 is an abundant number, since it is smaller than the sum of its proper divisors (9937116144384).

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

4622051622144 is a wasteful number, since it uses less digits than its factorization.

4622051622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11234 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 4622051622144 in words is "four trillion, six hundred twenty-two billion, fifty-one million, six hundred twenty-two thousand, one hundred forty-four".