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4455027134352 = 243411932881409
BaseRepresentation
bin100000011010100010001…
…0011110100111110010000
3120202220012111112010110000
41000311010103310332100
51040442343421244402
613250340004410000
7636602503556214
oct100650423647620
916686174463400
104455027134352
111468403747503
125bb4b76a6900
13264151845bb2
141158a5758944
157ad4375ec1c
hex40d444f4f90

4455027134352 has 100 divisors (see below), whose sum is σ = 12904953678540. Its totient is φ = 1483763761152.

The previous prime is 4455027134323. The next prime is 4455027134399. The reversal of 4455027134352 is 2534317205544.

4455027134352 is a `hidden beast` number, since 4 + 4 + 5 + 502 + 7 + 134 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3748963378176 + 706063756176 = 1936224^2 + 840276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4455027134298 and 4455027134307.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105424 + ... + 2986832.

Almost surely, 24455027134352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4455027134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6452476839270).

4455027134352 is an abundant number, since it is smaller than the sum of its proper divisors (8449926544188).

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

4455027134352 is a wasteful number, since it uses less digits than its factorization.

4455027134352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882622 (or 2882607 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 4455027134352 in words is "four trillion, four hundred fifty-five billion, twenty-seven million, one hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1193 1296 2386 3579 4772 7158 9544 10737 14316 19088 21474 28632 32211 42948 57264 64422 85896 96633 128844 171792 193266 257688 386532 515376 773064 1546128 2881409 5762818 8644227 11525636 17288454 23051272 25932681 34576908 46102544 51865362 69153816 77798043 103730724 138307632 155596086 207461448 233394129 311192172 414922896 466788258 622384344 933576516 1244768688 1867153032 3437520937 3734306064 6875041874 10312562811 13750083748 20625125622 27500167496 30937688433 41250251244 55000334992 61875376866 82500502488 92813065299 123750753732 165001004976 185626130598 247501507464 278439195897 371252261196 495003014928 556878391794 742504522392 1113756783588 1485009044784 2227513567176 4455027134352