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749270466560 = 226571129
BaseRepresentation
bin10101110011101000000…
…00000000000000000000
32122121222221120102121202
422321310000000000000
544234001214412220
61332113214240332
7105063422611430
oct12716400000000
92577887512552
10749270466560
11269844710450
121012691b60a8
135586b029a75
142839cbb02c0
1514754894275
hexae74000000

749270466560 has 432 divisors, whose sum is σ = 2319282322560. Its totient is φ = 225485783040.

The previous prime is 749270466557. The next prime is 749270466599. The reversal of 749270466560 is 65664072947.

It is a super-2 number, since 2×7492704665602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 749270466496 and 749270466505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25836912626 + ... + 25836912654.

It is an arithmetic number, because the mean of its divisors is an integer number (5368709080).

Almost surely, 2749270466560 is an apocalyptic number.

749270466560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

749270466560 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749270466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159641161280).

749270466560 is an abundant number, since it is smaller than the sum of its proper divisors (1570011856000).

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

749270466560 is an frugal number, since it uses more digits than its factorization.

749270466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 749270466560 in words is "seven hundred forty-nine billion, two hundred seventy million, four hundred sixty-six thousand, five hundred sixty".