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497178327870016 = 261322143992
BaseRepresentation
bin111000100001011100101100…
…1100111110110101001000000
32102012100210011111122210002221
41301002321121213312221000
51010131232203413320031
64521224323135220424
7206502643305533212
oct16102713147665100
92365323144583087
10497178327870016
11134464165741271
12479185a8077714
131845593b239400
148aab7b92505b2
153c72b38bb6a11
hex1c42e599f6a40

497178327870016 has 63 divisors (see below), whose sum is σ = 1068322430912841. Its totient is φ = 229465850275584.

The previous prime is 497178327870013. The next prime is 497178327870241. The reversal of 497178327870016 is 610078723871794.

The square root of 497178327870016 is 22297496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 73547089921600 + 423631237948416 = 8575960^2 + 20582304^2 .

It is not an unprimeable number, because it can be changed into a prime (497178327870013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2318832385 + ... + 2319046783.

Almost surely, 2497178327870016 is an apocalyptic number.

497178327870016 is the 22297496-th square number.

It is an amenable number.

497178327870016 is an abundant number, since it is smaller than the sum of its proper divisors (571144103042825).

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

497178327870016 is an frugal number, since it uses more digits than its factorization.

497178327870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428836 (or 214414 counting only the distinct ones).

The product of its (nonzero) digits is 199148544, while the sum is 70.

The spelling of 497178327870016 in words is "four hundred ninety-seven trillion, one hundred seventy-eight billion, three hundred twenty-seven million, eight hundred seventy thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 214399 428798 857596 1715192 2787187 3430384 5574374 6860768 11148748 13721536 22297496 36233431 44594992 72466862 89189984 144933724 178379968 289867448 579734896 1159469792 2318939584 45966931201 91933862402 183867724804 367735449608 597570105613 735470899216 1195140211226 1470941798432 2390280422452 2941883596864 4780560844904 7768411372969 9561121689808 15536822745938 19122243379616 31073645491876 38244486759232 62147290983752 124294581967504 248589163935008 497178327870016