Base | Representation |
---|---|
bin | 10001011111000010110010… |
… | …11000111001011010100000 |
3 | 12001010210021212210010110000 |
4 | 20233201121120321122200 |
5 | 20014431144003321030 |
6 | 213435412510540000 |
7 | 11045632002253200 |
oct | 1057413130713240 |
9 | 161123255703400 |
10 | 38450046932640 |
11 | 11284634114942 |
12 | 438ba62b07600 |
13 | 185ba93064645 |
14 | 96cdc6858400 |
15 | 46a29219d860 |
hex | 22f8596396a0 |
38450046932640 has 1440 divisors, whose sum is σ = 162648653351184. Its totient is φ = 8525462077440.
The previous prime is 38450046932621. The next prime is 38450046932641. The reversal of 38450046932640 is 4623964005483.
38450046932640 is a `hidden beast` number, since 3 + 8 + 4 + 500 + 4 + 6 + 93 + 2 + 6 + 40 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 1606069566864 + 36843977365776 = 1267308^2 + 6069924^2 .
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-2 number, since 2×384500469326402 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (38450046932641) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2827826322 + ... + 2827839918.
Almost surely, 238450046932640 is an apocalyptic number.
38450046932640 is a gapful number since it is divisible by the number (30) 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 38450046932640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81324326675592).
38450046932640 is an abundant number, since it is smaller than the sum of its proper divisors (124198606418544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38450046932640 is a wasteful number, since it uses less digits than its factorization.
38450046932640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13772 (or 13748 counting only the distinct ones).
The product of its (nonzero) digits is 14929920, while the sum is 54.
The spelling of 38450046932640 in words is "thirty-eight trillion, four hundred fifty billion, forty-six million, nine hundred thirty-two thousand, six hundred forty".
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