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38122312356 = 22321058953121
BaseRepresentation
bin100011100000010001…
…000101001010100100
310122101210212010021200
4203200101011022210
51111033302443411
625302501242500
72516464210542
oct434021051244
9118353763250
1038122312356
1115193062577
12747b103430
13379706179b
141bb9070d92
15ed1c34e56
hex8e04452a4

38122312356 has 18 divisors (see below), whose sum is σ = 96364734102. Its totient is φ = 12707437440.

The previous prime is 38122312321. The next prime is 38122312387. The reversal of 38122312356 is 65321322183.

38122312356 is a `hidden beast` number, since 3 + 81 + 223 + 1 + 2 + 356 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33797145600 + 4325166756 = 183840^2 + 65766^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1058953121 = 38122312356 / (3 + 8 + 1 + 2 + 2 + 3 + 1 + 2 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 38122312356.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 529476525 + ... + 529476596.

It is an arithmetic number, because the mean of its divisors is an integer number (5353596339).

Almost surely, 238122312356 is an apocalyptic number.

38122312356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38122312356 is an abundant number, since it is smaller than the sum of its proper divisors (58242421746).

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

38122312356 is a wasteful number, since it uses less digits than its factorization.

38122312356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058953131 (or 1058953126 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 38122312356 in words is "thirty-eight billion, one hundred twenty-two million, three hundred twelve thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1058953121 2117906242 3176859363 4235812484 6353718726 9530578089 12707437452 19061156178 38122312356