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296913977740864 = 261121958092
BaseRepresentation
bin100001110000010101010110…
…0001011000000111001000000
31102221021200212121121202221101
41003200222230023000321000
5302404114311300201424
62531252222013104144
7116353220105204401
oct10340525413007100
91387250777552841
10296913977740864
11866735689a3300
1229373b02488054
13c989b38bac883
1453469db03d9a8
15244d6320b8344
hex10e0aac2c0e40

296913977740864 has 63 divisors (see below), whose sum is σ = 647623916675281. Its totient is φ = 134960209725440.

The previous prime is 296913977740859. The next prime is 296913977740873. The reversal of 296913977740864 is 468047779319692.

The square root of 296913977740864 is 17231192.

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., 283666707238464 + 13247270502400 = 16842408^2 + 3639680^2 .

It is a super-2 number, since 2×2969139777408642 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1516246992 + ... + 1516442800.

Almost surely, 2296913977740864 is an apocalyptic number.

296913977740864 is the 17231192-nd square number.

It is an amenable number.

296913977740864 is an abundant number, since it is smaller than the sum of its proper divisors (350709938934417).

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

296913977740864 is an frugal number, since it uses more digits than its factorization.

296913977740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391652 (or 195822 counting only the distinct ones).

The product of its (nonzero) digits is 6913299456, while the sum is 82.

The spelling of 296913977740864 in words is "two hundred ninety-six trillion, nine hundred thirteen billion, nine hundred seventy-seven million, seven hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 195809 391618 783236 1566472 2153899 3132944 4307798 6265888 8615596 12531776 17231192 23692889 34462384 47385778 68924768 94771556 137849536 189543112 379086224 758172448 1516344896 38341164481 76682328962 153364657924 306729315848 421752809291 613458631696 843505618582 1226917263392 1687011237164 2453834526784 3374022474328 4639280902201 6748044948656 9278561804402 13496089897312 18557123608804 26992179794624 37114247217608 74228494435216 148456988870432 296913977740864