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760329936961 = 721245672
BaseRepresentation
bin10110001000001110011…
…00100010000001000001
32200200112200220201220121
423010013030202001001
544424123430440321
61341142445140241
7105634453554400
oct13040714420101
92620480821817
10760329936961
112734aa478231
12103434b5a681
13569113772aa
1428b2b921637
1514ba077e441
hexb107322041

760329936961 has 9 divisors (see below), whose sum is σ = 884472537249. Its totient is φ = 651706142724.

The previous prime is 760329936959. The next prime is 760329936979. The reversal of 760329936961 is 169639923067.

The square root of 760329936961 is 871969.

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

It is not a de Polignac number, because 760329936961 - 21 = 760329936959 is a prime.

It is a super-2 number, since 2×7603299369612 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 760329936961.

It is not an unprimeable number, because it can be changed into a prime (760329936361) 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 8 ways as a sum of consecutive naturals, for example, 6041500 + ... + 6166066.

It is an arithmetic number, because the mean of its divisors is an integer number (98274726361).

Almost surely, 2760329936961 is an apocalyptic number.

760329936961 is the 871969-th square number.

760329936961 is the 435985-th centered octagonal number.

It is an amenable number.

760329936961 is a deficient number, since it is larger than the sum of its proper divisors (124142600288).

760329936961 is an frugal number, since it uses more digits than its factorization.

760329936961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249148 (or 124574 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 61.

The spelling of 760329936961 in words is "seven hundred sixty billion, three hundred twenty-nine million, nine hundred thirty-six thousand, nine hundred sixty-one".

Divisors: 1 7 49 124567 871969 6103783 15516937489 108618562423 760329936961