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682151820752 = 24192373191921
BaseRepresentation
bin10011110110100110110…
…10101011110111010000
32102012202022222221122002
421323103122223313100
542134021331231002
61241213132533132
7100166233543343
oct11732332536720
92365668887562
10682151820752
11243331a12436
12b02573211a8
134c43282522c
1425032b1845a
1512b271dd002
hex9ed36abdd0

682151820752 has 60 divisors (see below), whose sum is σ = 1432592048196. Its totient is φ = 314391352320.

The previous prime is 682151820739. The next prime is 682151820761. The reversal of 682151820752 is 257028151286.

It can be written as a sum of positive squares in 2 ways, for example, as 460193997376 + 221957823376 = 678376^2 + 471124^2 .

It is a super-2 number, since 2×6821518207522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 682151820697 and 682151820706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1382249 + ... + 1809672.

Almost surely, 2682151820752 is an apocalyptic number.

It is an amenable number.

682151820752 is an abundant number, since it is smaller than the sum of its proper divisors (750440227444).

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

682151820752 is a wasteful number, since it uses less digits than its factorization.

682151820752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192004 (or 3191979 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 47.

The spelling of 682151820752 in words is "six hundred eighty-two billion, one hundred fifty-one million, eight hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 361 592 703 722 1406 1444 2812 2888 5624 5776 11248 13357 26714 53428 106856 213712 3191921 6383842 12767684 25535368 51070736 60646499 118101077 121292998 236202154 242585996 472404308 485171992 944808616 970343984 1152283481 1889617232 2243920463 2304566962 4487840926 4609133924 8975681852 9218267848 17951363704 18436535696 35902727408 42634488797 85268977594 170537955188 341075910376 682151820752