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6980756442 = 2311235327239
BaseRepresentation
bin1101000000001010…
…11110001111011010
3200000111112011120220
412200011132033122
5103244033201232
63112405500510
7334663310412
oct64005361732
920014464526
106980756442
112a62500700
121429a11736
13873328c1a
144a318b642
152accb742c
hex1a015e3da

6980756442 has 48 divisors (see below), whose sum is σ = 15390164160. Its totient is φ = 2109310720.

The previous prime is 6980756429. The next prime is 6980756443. The reversal of 6980756442 is 2446570896.

It is not an unprimeable number, because it can be changed into a prime (6980756443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242659 + ... + 269897.

It is an arithmetic number, because the mean of its divisors is an integer number (320628420).

Almost surely, 26980756442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6980756442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695082080).

6980756442 is an abundant number, since it is smaller than the sum of its proper divisors (8409407718).

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

6980756442 is a wasteful number, since it uses less digits than its factorization.

6980756442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27619 (or 27608 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 6980756442 is about 83550.9212516535. The cubic root of 6980756442 is about 1911.1766405602.

The spelling of 6980756442 in words is "six billion, nine hundred eighty million, seven hundred fifty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 353 363 706 726 1059 2118 3883 7766 11649 23298 27239 42713 54478 81717 85426 128139 163434 256278 299629 599258 898887 1797774 3295919 6591838 9615367 9887757 19230734 19775514 28846101 57692202 105769037 211538074 317307111 634614222 1163459407 2326918814 3490378221 6980756442