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745367960064 = 293713313179
BaseRepresentation
bin10101101100010110110…
…01000111101000000000
32122020220222022120010010
422312023121013220000
544203003144210224
61330230050104520
7104564625060450
oct12661331075000
92566828276103
10745367960064
11268121866572
1210055a27b140
1355398682020
142810c797d60
15145c6e7ae29
hexad8b647a00

745367960064 has 640 divisors, whose sum is σ = 2539517460480. Its totient is φ = 189176463360.

The previous prime is 745367960017. The next prime is 745367960087. The reversal of 745367960064 is 460069763547.

It is a junction number, because it is equal to n+sod(n) for n = 745367959986 and 745367960013.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4164066727 + ... + 4164066905.

It is an arithmetic number, because the mean of its divisors is an integer number (3967996032).

Almost surely, 2745367960064 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 745367960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269758730240).

745367960064 is an abundant number, since it is smaller than the sum of its proper divisors (1794149500416).

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

745367960064 is an equidigital number, since it uses as much as digits as its factorization.

745367960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 57.

The spelling of 745367960064 in words is "seven hundred forty-five billion, three hundred sixty-seven million, nine hundred sixty thousand, sixty-four".