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20438332144 = 2417613122579
BaseRepresentation
bin10011000010001110…
…000011001011110000
31221202101022211220121
4103002032003023300
5313324203112034
613220024220024
71322323646116
oct230216031360
957671284817
1020438332144
1187389a649a
123b6490a614
131c0944a879
14dbc5c7ab6
157e94a21b4
hex4c23832f0

20438332144 has 40 divisors (see below), whose sum is σ = 41997378960. Its totient is φ = 9602270208.

The previous prime is 20438332097. The next prime is 20438332217. The reversal of 20438332144 is 44123383402.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105447 + ... + 228025.

It is an arithmetic number, because the mean of its divisors is an integer number (1049934474).

Almost surely, 220438332144 is an apocalyptic number.

It is an amenable number.

20438332144 is an abundant number, since it is smaller than the sum of its proper divisors (21559046816).

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

20438332144 is a wasteful number, since it uses less digits than its factorization.

20438332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123217 (or 123211 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 20438332144 in words is "twenty billion, four hundred thirty-eight million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 613 1226 2452 4904 9808 10421 20842 41684 83368 122579 166736 245158 490316 980632 1961264 2083843 4167686 8335372 16670744 33341488 75140927 150281854 300563708 601127416 1202254832 1277395759 2554791518 5109583036 10219166072 20438332144