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10976245704 = 23321743347601
BaseRepresentation
bin10100011100011110…
…00011011111001000
31001022221202001110200
422032033003133020
5134434404330304
65013055012200
7536000356224
oct121617033710
931287661420
1010976245704
114722893946
122163b0a060
13105c02b458
14761a89784
1544394ae39
hex28e3c37c8

10976245704 has 192 divisors, whose sum is σ = 32354562240. Its totient is φ = 3348172800.

The previous prime is 10976245697. The next prime is 10976245741. The reversal of 10976245704 is 40754267901.

10976245704 is a `hidden beast` number, since 1 + 0 + 9 + 76 + 2 + 4 + 570 + 4 = 666.

10976245704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10976245704.

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 47 ways as a sum of consecutive naturals, for example, 18263004 + ... + 18263604.

It is an arithmetic number, because the mean of its divisors is an integer number (168513345).

Almost surely, 210976245704 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 10976245704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177281120).

10976245704 is an abundant number, since it is smaller than the sum of its proper divisors (21378316536).

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

10976245704 is a wasteful number, since it uses less digits than its factorization.

10976245704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10976245704 in words is "ten billion, nine hundred seventy-six million, two hundred forty-five thousand, seven hundred four".