Search a number
-
+
80660290446576 = 2435298359914389
BaseRepresentation
bin10010010101110000101111…
…111101011010010011110000
3101120121001022022211002200000
4102111300233331122103300
541033014233323242301
6443314454220230000
722663341122243151
oct2225605775322360
9346531268732600
1080660290446576
1123778923169595
12906860809b300
133601304481189
1415cbd9c0d5928
1594d25c77c786
hex495c2ff5a4f0

80660290446576 has 480 divisors, whose sum is σ = 245513661120000. Its totient is φ = 25602271478784.

The previous prime is 80660290446557. The next prime is 80660290446587. The reversal of 80660290446576 is 67564409206608.

80660290446576 is a `hidden beast` number, since 80 + 6 + 6 + 0 + 2 + 90 + 4 + 465 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5605683990 + ... + 5605698378.

It is an arithmetic number, because the mean of its divisors is an integer number (511486794000).

Almost surely, 280660290446576 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 80660290446576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122756830560000).

80660290446576 is an abundant number, since it is smaller than the sum of its proper divisors (164853370673424).

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

80660290446576 is a wasteful number, since it uses less digits than its factorization.

80660290446576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15123 (or 15105 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 80660290446576 in words is "eighty trillion, six hundred sixty billion, two hundred ninety million, four hundred forty-six thousand, five hundred seventy-six".