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681470062144 = 2619254312
BaseRepresentation
bin10011110101010101100…
…01111110111001000000
32102010222211011000122021
421322222301332321000
542131122313442034
61241021340251224
7100143314645044
oct11725261767100
92363884130567
10681470062144
112430120a2073
12b00a6b40b14
134c354501981
1424daa36c024
1512ad74206b4
hex9eaac7ee40

681470062144 has 63 divisors (see below), whose sum is σ = 1427474225691. Its totient is φ = 322742171520.

The previous prime is 681470062121. The next prime is 681470062159. The reversal of 681470062144 is 441260074186.

It is a happy number.

The square root of 681470062144 is 825512.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 681470062144.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 125475109 + ... + 125480539.

Almost surely, 2681470062144 is an apocalyptic number.

681470062144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

681470062144 is the 825512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681470062144

681470062144 is an abundant number, since it is smaller than the sum of its proper divisors (746004163547).

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

681470062144 is an frugal number, since it uses more digits than its factorization.

681470062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10912 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 681470062144 in words is "six hundred eighty-one billion, four hundred seventy million, sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5431 5776 10862 11552 21724 23104 43448 86896 103189 173792 206378 347584 412756 825512 1651024 1960591 3302048 3921182 6604096 7842364 15684728 29495761 31369456 58991522 62738912 117983044 125477824 235966088 471932176 560419459 943864352 1120838918 1887728704 2241677836 4483355672 8966711344 10647969721 17933422688 21295939442 35866845376 42591878884 85183757768 170367515536 340735031072 681470062144