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2378717056 = 27149191653
BaseRepresentation
bin1000110111001000…
…0101011110000000
320010202222100100201
42031302011132000
514332422421211
61032012054544
7112642522102
oct21562053600
96122870321
102378717056
1110107a6371
12564764454
132bba765b1
14187cbd572
15ddc700c1
hex8dc85780

2378717056 has 64 divisors (see below), whose sum is σ = 4802976000. Its totient is φ = 1173391360.

The previous prime is 2378716997. The next prime is 2378717069. The reversal of 2378717056 is 6507178732.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2378716997 and 2378717015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3642426 + ... + 3643078.

It is an arithmetic number, because the mean of its divisors is an integer number (75046500).

Almost surely, 22378717056 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 2378717056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401488000).

2378717056 is an abundant number, since it is smaller than the sum of its proper divisors (2424258944).

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

2378717056 is a wasteful number, since it uses less digits than its factorization.

2378717056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 46.

The square root of 2378717056 is about 48772.0930040941. The cubic root of 2378717056 is about 1334.8965035469.

The spelling of 2378717056 in words is "two billion, three hundred seventy-eight million, seven hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 128 149 191 298 382 596 653 764 1192 1306 1528 2384 2612 3056 4768 5224 6112 9536 10448 12224 19072 20896 24448 28459 41792 56918 83584 97297 113836 124723 194594 227672 249446 389188 455344 498892 778376 910688 997784 1556752 1821376 1995568 3113504 3642752 3991136 6227008 7982272 12454016 15964544 18583727 37167454 74334908 148669816 297339632 594679264 1189358528 2378717056