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38580213440 = 265177091951
BaseRepresentation
bin100011111011100011…
…110101011011000000
310200120201110220111002
4203323203311123000
51113003013312230
625420135511132
72534024255246
oct437343653300
9120521426432
1038580213440
11153a858541a
1275885284a8
13383ab96882
141c1dbc8796
15100c034545
hex8fb8f56c0

38580213440 has 56 divisors (see below), whose sum is σ = 97273213632. Its totient is φ = 14524313600.

The previous prime is 38580213433. The next prime is 38580213449. The reversal of 38580213440 is 4431208583.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38580213394 and 38580213403.

It is not an unprimeable number, because it can be changed into a prime (38580213449) 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 7 ways as a sum of consecutive naturals, for example, 3540536 + ... + 3551415.

It is an arithmetic number, because the mean of its divisors is an integer number (1737021672).

Almost surely, 238580213440 is an apocalyptic number.

It is an amenable number.

38580213440 is an abundant number, since it is smaller than the sum of its proper divisors (58693000192).

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

38580213440 is a wasteful number, since it uses less digits than its factorization.

38580213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091985 (or 7091975 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 38580213440 in words is "thirty-eight billion, five hundred eighty million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 7091951 14183902 28367804 35459755 56735608 70919510 113471216 120563167 141839020 226942432 241126334 283678040 453884864 482252668 567356080 602815835 964505336 1134712160 1205631670 1929010672 2269424320 2411263340 3858021344 4822526680 7716042688 9645053360 19290106720 38580213440