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716329381248 = 2735132136273
BaseRepresentation
bin10100110110010001000…
…11101110110110000000
32112110222020002220200000
422123020203232312000
543214020310144443
61305024400400000
7102516211164015
oct12331043566600
92473866086600
10716329381248
112568802964a8
12b69b5316000
135271b53a400
1426955cd770c
15139779628d3
hexa6c88eed80

716329381248 has 288 divisors, whose sum is σ = 2314758340440. Its totient is φ = 220407422976.

The previous prime is 716329381231. The next prime is 716329381253. The reversal of 716329381248 is 842183923617.

It is a happy number.

716329381248 is a `hidden beast` number, since 7 + 16 + 3 + 2 + 9 + 381 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 716329381194 and 716329381203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5188440 + ... + 5324712.

Almost surely, 2716329381248 is an apocalyptic number.

716329381248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716329381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157379170220).

716329381248 is an abundant number, since it is smaller than the sum of its proper divisors (1598428959192).

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

716329381248 is a wasteful number, since it uses less digits than its factorization.

716329381248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136328 (or 136291 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 716329381248 in words is "seven hundred sixteen billion, three hundred twenty-nine million, three hundred eighty-one thousand, two hundred forty-eight".