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275055841152 = 2733277287321
BaseRepresentation
bin1000000000010101001…
…10110000111110000000
3222021222010002110121000
410000022212300332000
514001303243404102
6330205305132000
725605066034221
oct4001246607600
9867863073530
10275055841152
11a6717940594
124538378a000
131cc260473c1
14d454373248
15724c86c01c
hex400a9b0f80

275055841152 has 128 divisors (see below), whose sum is σ = 814730263200. Its totient is φ = 91353968640.

The previous prime is 275055841129. The next prime is 275055841157. The reversal of 275055841152 is 251148550572.

It is a happy number.

275055841152 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 5 + 584 + 11 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 275055841098 and 275055841107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275055841157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813652 + ... + 1100972.

Almost surely, 2275055841152 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 275055841152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407365131600).

275055841152 is an abundant number, since it is smaller than the sum of its proper divisors (539674422048).

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

275055841152 is a wasteful number, since it uses less digits than its factorization.

275055841152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287621 (or 287603 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The spelling of 275055841152 in words is "two hundred seventy-five billion, fifty-five million, eight hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 277 288 384 432 554 576 831 864 1108 1152 1662 1728 2216 2493 3324 3456 4432 4986 6648 7479 8864 9972 13296 14958 17728 19944 26592 29916 35456 39888 53184 59832 79776 106368 119664 159552 239328 287321 319104 478656 574642 861963 957312 1149284 1723926 2298568 2585889 3447852 4597136 5171778 6895704 7757667 9194272 10343556 13791408 15515334 18388544 20687112 27582816 31030668 36777088 41374224 55165632 62061336 79587917 82748448 110331264 124122672 159175834 165496896 238763751 248245344 318351668 330993792 477527502 496490688 636703336 716291253 955055004 992981376 1273406672 1432582506 1910110008 2148873759 2546813344 2865165012 3820220016 4297747518 5093626688 5730330024 7640440032 8595495036 10187253376 11460660048 15280880064 17190990072 22921320096 30561760128 34381980144 45842640192 68763960288 91685280384 137527920576 275055841152