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1962683104 = 25233712
BaseRepresentation
bin111010011111100…
…0010101011100000
312001210010122001211
41310333002223200
513004421324404
6522431035504
766431350114
oct16477025340
95053118054
101962683104
11917979958
1246936bb94
1325380cb65
14148943744
15b7490b04
hex74fc2ae0

1962683104 has 72 divisors (see below), whose sum is σ = 4097353680. Its totient is φ = 925453760.

The previous prime is 1962683077. The next prime is 1962683123. The reversal of 1962683104 is 4013862691.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27643389 + ... + 27643459.

It is an arithmetic number, because the mean of its divisors is an integer number (56907690).

Almost surely, 21962683104 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 1962683104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048676840).

1962683104 is an abundant number, since it is smaller than the sum of its proper divisors (2134670576).

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

1962683104 is an frugal number, since it uses more digits than its factorization.

1962683104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 1962683104 is about 44302.1794497743. The cubic root of 1962683104 is about 1252.0357449807.

The spelling of 1962683104 in words is "one billion, nine hundred sixty-two million, six hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 284 368 529 568 736 1058 1136 1633 2116 2272 3266 4232 5041 6532 8464 10082 12167 13064 16928 20164 24334 26128 37559 40328 48668 52256 75118 80656 97336 115943 150236 161312 194672 231886 300472 389344 463772 600944 863857 927544 1201888 1727714 1855088 2666689 3455428 3710176 5333378 6910856 10666756 13821712 21333512 27643424 42667024 61333847 85334048 122667694 245335388 490670776 981341552 1962683104