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806513974992 = 243211246287533
BaseRepresentation
bin10111011110001111111…
…10101001111011010000
32212002202100022221210200
423233013332221323100
5101203220034144432
61414301333255200
7112161111450525
oct13570776517320
92762670287720
10806513974992
1129104a127600
12110383a94500
135b09168144b
142b06d52714c
1515ea5103a7c
hexbbc7fa9ed0

806513974992 has 90 divisors (see below), whose sum is σ = 2480965534866. Its totient is φ = 244398168960.

The previous prime is 806513974933. The next prime is 806513974997. The reversal of 806513974992 is 299479315608.

806513974992 is a `hidden beast` number, since 8 + 0 + 6 + 5 + 139 + 7 + 499 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 806396816016 + 117158976 = 897996^2 + 10824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806513974997) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23126343 + ... + 23161190.

It is a 1-persistent number, because it is pandigital, but 2⋅806513974992 = 1613027949984 is not.

Almost surely, 2806513974992 is an apocalyptic number.

It is an amenable number.

806513974992 is an abundant number, since it is smaller than the sum of its proper divisors (1674451559874).

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

806513974992 is a wasteful number, since it uses less digits than its factorization.

806513974992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46287569 (or 46287549 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 806513974992 in words is "eight hundred six billion, five hundred thirteen million, nine hundred seventy-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 46287533 92575066 138862599 185150132 277725198 370300264 416587797 509162863 555450396 740600528 833175594 1018325726 1110900792 1527488589 1666351188 2036651452 2221801584 3054977178 3332702376 4073302904 4582465767 5600791493 6109954356 6665404752 8146605808 9164931534 11201582986 12219908712 16802374479 18329863068 22403165972 24439817424 33604748958 36659726136 44806331944 50407123437 67209497916 73319452272 89612663888 100814246874 134418995832 201628493748 268837991664 403256987496 806513974992