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377104344078 = 237211233949853
BaseRepresentation
bin1010111110011010010…
…10111010010000001110
31100001101001100112120110
411133031022322100032
522134302203002303
6445123410500450
736146666015400
oct5371512722016
91301331315513
10377104344078
11135a24631210
1261103594726
132973a084047
14143754b6b70
159c2184a703
hex57cd2ba40e

377104344078 has 96 divisors (see below), whose sum is σ = 957531818880. Its totient is φ = 97905339840.

The previous prime is 377104344073. The next prime is 377104344107. The reversal of 377104344078 is 870443401773.

377104344078 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3771043440783 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377104344073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7539400 + ... + 7589252.

It is an arithmetic number, because the mean of its divisors is an integer number (9974289780).

Almost surely, 2377104344078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377104344078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478765909440).

377104344078 is an abundant number, since it is smaller than the sum of its proper divisors (580427474802).

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

377104344078 is a wasteful number, since it uses less digits than its factorization.

377104344078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52222 (or 52215 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The spelling of 377104344078 in words is "three hundred seventy-seven billion, one hundred four million, three hundred forty-four thousand, seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 2339 3234 4678 7017 14034 16373 25729 32746 49119 49853 51458 77187 98238 99706 114611 149559 154374 180103 229222 299118 343833 348971 360206 540309 548383 687666 697942 1046913 1080618 1096766 1260721 1645149 2093826 2442797 2521442 3290298 3782163 3838681 4885594 7328391 7564326 7677362 11516043 14656782 23032086 26870767 53741534 80612301 116606167 161224602 233212334 349818501 699637002 816243169 1282667837 1632486338 2448729507 2565335674 3848003511 4897459014 5713702183 7696007022 8978674859 11427404366 17141106549 17957349718 26936024577 34282213098 53872049154 62850724013 125701448026 188552172039 377104344078