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9374707056 = 24311133893511
BaseRepresentation
bin10001011101100011…
…01010110101110000
3220012100011110110110
420232301222311300
5123144411111211
64150124301320
7451212460311
oct105661526560
926170143413
109374707056
113a80861190
1219976a1840
13b652a7250
1464d0b4608
1539d045ea6
hex22ec6ad70

9374707056 has 160 divisors (see below), whose sum is σ = 28533173760. Its totient is φ = 2614809600.

The previous prime is 9374707039. The next prime is 9374707061. The reversal of 9374707056 is 6507074739.

9374707056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

9374707056 is a nontrivial binomial coefficient, being equal to C(136929, 2).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9374706996 and 9374707014.

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, 2668341 + ... + 2671851.

It is an arithmetic number, because the mean of its divisors is an integer number (178332336).

Almost surely, 29374707056 is an apocalyptic number.

9374707056 is the 136928-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9374707056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266586880).

9374707056 is an abundant number, since it is smaller than the sum of its proper divisors (19158466704).

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

9374707056 is a wasteful number, since it uses less digits than its factorization.

9374707056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 48.

The square root of 9374707056 is about 96823.0708870567. The cubic root of 9374707056 is about 2108.5597004888.

The spelling of 9374707056 in words is "nine billion, three hundred seventy-four million, seven hundred seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 389 429 528 572 624 778 858 1144 1167 1556 1716 2288 2334 3112 3432 3511 4279 4668 5057 6224 6864 7022 8558 9336 10114 10533 12837 14044 15171 17116 18672 20228 21066 25674 28088 30342 34232 38621 40456 42132 45643 51348 55627 56176 60684 68464 77242 80912 84264 91286 102696 111254 115863 121368 136929 154484 166881 168528 182572 205392 222508 231726 242736 273858 308968 333762 365144 445016 463452 502073 547716 617936 667524 730288 890032 926904 1004146 1095432 1335048 1365779 1506219 1853808 2008292 2190864 2670096 2731558 3012438 4016584 4097337 5463116 6024876 8033168 8194674 10926232 12049752 15023569 16389348 17755127 21852464 24099504 30047138 32778696 35510254 45070707 53265381 60094276 65557392 71020508 90141414 106530762 120188552 142041016 180282828 195306397 213061524 240377104 284082032 360565656 390612794 426123048 585919191 721131312 781225588 852246096 1171838382 1562451176 2343676764 3124902352 4687353528 9374707056