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45079781716068 = 223112238291847347
BaseRepresentation
bin10100011111111111101000…
…11000000011000001100100
312220121120210111102020110120
422033333310120003001210
521402041343104403233
6235513211003521540
712331623005152161
oct1217776430030144
9186546714366416
1045079781716068
1113400256607770
12508091b8292b0
131c2000b4a7238
14b1bc31a19068
155329666904b3
hex28fff4603064

45079781716068 has 96 divisors (see below), whose sum is σ = 115402203893760. Its totient is φ = 13582870093440.

The previous prime is 45079781716031. The next prime is 45079781716111. The reversal of 45079781716068 is 86061718797054.

It is a super-3 number, since 3×450797817160683 (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45079781715993 and 45079781716011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23478771 + ... + 25326117.

It is an arithmetic number, because the mean of its divisors is an integer number (1202106290560).

Almost surely, 245079781716068 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 45079781716068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57701101946880).

45079781716068 is an abundant number, since it is smaller than the sum of its proper divisors (70322422177692).

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

45079781716068 is a wasteful number, since it uses less digits than its factorization.

45079781716068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848417 (or 1848415 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 69.

The spelling of 45079781716068 in words is "forty-five trillion, seventy-nine billion, seven hundred eighty-one million, seven hundred sixteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 669 829 892 1338 1658 2453 2487 2676 3316 4906 4974 7359 9119 9812 9948 14718 18238 27357 29436 36476 54714 109428 184867 369734 554601 739468 1109202 1847347 2033537 2218404 3694694 4067074 5542041 6100611 7389388 8134148 11084082 12201222 20320817 22168164 24402444 40641634 60962451 81283268 121924902 243849804 411958381 823916762 1235875143 1531450663 1647833524 2471750286 3062901326 4531542191 4594351989 4943500572 6125802652 9063084382 9188703978 13594626573 16845957293 18126168764 18377407956 27189253146 33691914586 50537871879 54378506292 67383829172 101075743758 202151487516 341513497849 683026995698 1024540493547 1366053991396 2049080987094 3756648476339 4098161974188 7513296952678 11269945429017 15026593905356 22539890858034 45079781716068