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10714072320 = 283257132863
BaseRepresentation
bin10011111101001101…
…11100010100000000
31000122200102021012100
421332212330110000
5133420300303240
64531051430400
7526335053310
oct117646742400
930580367170
1010714072320
1145a88a6126
1220b0155400
131019915b83
14738d21440
1542a90ee30
hex27e9bc500

10714072320 has 216 divisors, whose sum is σ = 42365546496. Its totient is φ = 2448912384.

The previous prime is 10714072307. The next prime is 10714072321. The reversal of 10714072320 is 2327041701.

It is a happy number.

It is a super-2 number, since 2×107140723202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10714072321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14209 + ... + 147071.

Almost surely, 210714072320 is an apocalyptic number.

10714072320 is a gapful number since it is divisible by the number (10) 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 10714072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21182773248).

10714072320 is an abundant number, since it is smaller than the sum of its proper divisors (31651474176).

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

10714072320 is a wasteful number, since it uses less digits than its factorization.

10714072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132897 (or 132880 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 10714072320 in words is "ten billion, seven hundred fourteen million, seventy-two thousand, three hundred twenty".