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749042181056 = 261317269196871
BaseRepresentation
bin10101110011001100110…
…01001010001111000000
32122121102001000022210002
422321212121022033000
544233014244243211
61332034421255132
7105054651326141
oct12714631121700
92577361008702
10749042181056
11269737869144
121012048644a8
135583294aca0
142837a747ac8
151473e7ee03b
hexae6664a3c0

749042181056 has 112 divisors (see below), whose sum is σ = 1701186701760. Its totient is φ = 324164567040.

The previous prime is 749042181011. The next prime is 749042181067. The reversal of 749042181056 is 650181240947.

It is a happy number.

It is a super-2 number, since 2×7490421810562 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 749042181056.

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, 3706301 + ... + 3903171.

It is an arithmetic number, because the mean of its divisors is an integer number (15189166980).

Almost surely, 2749042181056 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 749042181056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850593350880).

749042181056 is an abundant number, since it is smaller than the sum of its proper divisors (952144520704).

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

749042181056 is a wasteful number, since it uses less digits than its factorization.

749042181056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197182 (or 197172 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 749042181056 in words is "seven hundred forty-nine billion, forty-two million, one hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 269 272 416 442 538 544 832 884 1076 1088 1768 2152 3497 3536 4304 4573 6994 7072 8608 9146 13988 14144 17216 18292 27976 36584 55952 59449 73168 111904 118898 146336 196871 223808 237796 292672 393742 475592 787484 951184 1574968 1902368 2559323 3149936 3346807 3804736 5118646 6299872 6693614 10237292 12599744 13387228 20474584 26774456 40949168 43508491 52958299 53548912 81898336 87016982 105916598 107097824 163796672 174033964 211833196 214195648 348067928 423666392 688457887 696135856 847332784 900291083 1376915774 1392271712 1694665568 1800582166 2753831548 2784543424 3389331136 3601164332 5507663096 7202328664 11015326192 11703784079 14404657328 22030652384 23407568158 28809314656 44061304768 46815136316 57618629312 93630272632 187260545264 374521090528 749042181056