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716270442272 = 2572112292672
BaseRepresentation
bin10100110110001010000…
…10111001011100100000
32112110211010012111120222
422123011002321130200
543213410213123042
61305014453222212
7102514564206200
oct12330502713440
92473733174528
10716270442272
1125684aa9a800
12b6999631968
135270c272388
142694c154400
15139726be2d2
hexa6c50b9720

716270442272 has 486 divisors, whose sum is σ = 1895676514641. Its totient is φ = 265421882880.

The previous prime is 716270442271. The next prime is 716270442347. The reversal of 716270442272 is 272244072617.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 715844597776 + 425844496 = 846076^2 + 20636^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=598444.

It is a super-3 number, since 3×7162704422723 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (716270442271) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 10690603583 + ... + 10690603649.

Almost surely, 2716270442272 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 716270442272

716270442272 is an abundant number, since it is smaller than the sum of its proper divisors (1179406072369).

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

716270442272 is a wasteful number, since it uses less digits than its factorization.

716270442272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 44.

The spelling of 716270442272 in words is "seven hundred sixteen billion, two hundred seventy million, four hundred forty-two thousand, two hundred seventy-two".