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7894953561616 = 2411219233612
BaseRepresentation
bin111001011100010111111…
…1001110000111000010000
31000221202020212222102120021
41302320233321300320100
52013322331102432431
624442520330153224
71443251211011332
oct162705771607020
930852225872507
107894953561616
11257425a512300
12a76117b82814
1345364c746904
141d419130d452
15da574b9eb11
hex72e2fe70e10

7894953561616 has 135 divisors (see below), whose sum is σ = 17750253936429. Its totient is φ = 3398729241600.

The previous prime is 7894953561587. The next prime is 7894953561617. The reversal of 7894953561616 is 6161653594987.

The square root of 7894953561616 is 2809796.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5922389491216 + 1972564070400 = 2433596^2 + 1404480^2 .

It is not an unprimeable number, because it can be changed into a prime (7894953561617) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2348987776 + ... + 2348991136.

Almost surely, 27894953561616 is an apocalyptic number.

7894953561616 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

7894953561616 is the 2809796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7894953561616

7894953561616 is an abundant number, since it is smaller than the sum of its proper divisors (9855300374813).

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

7894953561616 is an equidigital number, since it uses as much as digits as its factorization.

7894953561616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 3393 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 70.

The spelling of 7894953561616 in words is "seven trillion, eight hundred ninety-four billion, nine hundred fifty-three million, five hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 361 418 484 722 836 968 1444 1672 1936 2299 2888 3344 3361 3971 4598 5776 6722 7942 9196 13444 15884 18392 26888 31768 36784 36971 43681 53776 63536 63859 73942 87362 127718 147884 174724 255436 295768 349448 406681 510872 591536 698896 702449 813362 1021744 1213321 1404898 1626724 2426642 2809796 3253448 4853284 5619592 6506896 7726939 9706568 11239184 11296321 13346531 15453878 19413136 22592642 26693062 30907756 45185284 53386124 61815512 90370568 106772248 123631024 124259531 146811841 180741136 213544496 214630099 248519062 293623682 429260198 497038124 587247364 858520396 994076248 1174494728 1366854841 1717040792 1988152496 2348989456 2360931089 2733709682 3434081584 4077971881 4721862178 5467419364 8155943762 9443724356 10934838728 16311887524 18887448712 21869677456 25970241979 32623775048 37774897424 44857690691 51940483958 65247550096 89715381382 103880967916 179430762764 207761935832 358861525528 415523871664 493434597601 717723051056 986869195202 1973738390404 3947476780808 7894953561616