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740413049376 = 2537111322373353
BaseRepresentation
bin10101100011001000000…
…11101000101000100000
32121210010122210000110110
422301210003220220200
544112331220040001
61324050245131320
7104331061035630
oct12614403505040
92553118700413
10740413049376
11266009955860
12bb5b69b9b40
1354a88c7c600
1427b9c6b26c0
15143d6e7e3d6
hexac640e8a20

740413049376 has 1152 divisors, whose sum is σ = 2783358111744. Its totient is φ = 167002767360.

The previous prime is 740413049347. The next prime is 740413049393. The reversal of 740413049376 is 673940314047.

It is a super-2 number, since 2×7404130493762 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2097487216 + ... + 2097487568.

It is an arithmetic number, because the mean of its divisors is an integer number (2416109472).

Almost surely, 2740413049376 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 740413049376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391679055872).

740413049376 is an abundant number, since it is smaller than the sum of its proper divisors (2042945062368).

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

740413049376 is a wasteful number, since it uses less digits than its factorization.

740413049376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 740413049376 in words is "seven hundred forty billion, four hundred thirteen million, forty-nine thousand, three hundred seventy-six".