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3642681980 = 225771366467
BaseRepresentation
bin1101100100011110…
…1110101001111100
3100101212100102021102
43121013232221330
524430011310410
61401243152232
7156161200040
oct33107565174
910355312242
103642681980
1115aa220983
12857b15678
134608a5632
14267b00020
15164be32a5
hexd91eea7c

3642681980 has 48 divisors (see below), whose sum is σ = 8865593856. Its totient is φ = 1231325760.

The previous prime is 3642681949. The next prime is 3642682003. The reversal of 3642681980 is 891862463.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173294 + ... + 193173.

It is an arithmetic number, because the mean of its divisors is an integer number (184699872).

Almost surely, 23642681980 is an apocalyptic number.

It is an amenable number.

3642681980 is an abundant number, since it is smaller than the sum of its proper divisors (5222911876).

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

3642681980 is a wasteful number, since it uses less digits than its factorization.

3642681980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366554 (or 366552 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 3642681980 is about 60354.6351161201. The cubic root of 3642681980 is about 1538.6520475658.

The spelling of 3642681980 in words is "three billion, six hundred forty-two million, six hundred eighty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 366467 732934 1465868 1832335 2565269 3664670 5130538 7329340 10261076 12826345 25652690 26019157 51305380 52038314 104076628 130095785 182134099 260191570 364268198 520383140 728536396 910670495 1821340990 3642681980