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744717054004 = 2271123276737993
BaseRepresentation
bin10101101011001001001…
…10000111000000110100
32122012020121112002212021
422311210212013000310
544200140031212004
61330041315002524
7104542532341240
oct12654446070064
92565217462767
10744717054004
112679183a9180
121003b8299444
13552c3871801
142808a15d420
1514589c54d54
hexad64987034

744717054004 has 96 divisors (see below), whose sum is σ = 1696139698176. Its totient is φ = 277426702080.

The previous prime is 744717053987. The next prime is 744717054013. The reversal of 744717054004 is 400450717447.

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 31 ways as a sum of consecutive naturals, for example, 19582432 + ... + 19620424.

It is an arithmetic number, because the mean of its divisors is an integer number (17668121856).

Almost surely, 2744717054004 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 744717054004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848069849088).

744717054004 is an abundant number, since it is smaller than the sum of its proper divisors (951422644172).

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

744717054004 is a wasteful number, since it uses less digits than its factorization.

744717054004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40805 (or 40803 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 43.

The spelling of 744717054004 in words is "seven hundred forty-four billion, seven hundred seventeen million, fifty-four thousand, four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 2767 3542 5534 7084 11068 19369 30437 37993 38738 60874 63641 75986 77476 121748 127282 151972 213059 254564 265951 417923 426118 445487 531902 700051 835846 852236 873839 890974 1063804 1400102 1671692 1747678 1781948 2800204 2925461 3495356 4900357 5850922 6116873 9612229 9800714 11701844 12233746 19224458 19601428 24467492 38448916 67285603 105126631 134571206 210253262 269142412 420506524 735886417 1156392941 1471772834 2312785882 2417912513 2943545668 4625571764 4835825026 8094750587 9671650052 16189501174 16925387591 26597037643 32379002348 33850775182 53194075286 67701550364 106388150572 186179263501 372358527002 744717054004