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2006142426460 = 225378930460711
BaseRepresentation
bin11101001100010111011…
…010000001110101011100
321002210012111220110000101
4131030113122001311130
5230332034430121320
64133335322310444
7264640036160644
oct35142732016534
97083174813011
102006142426460
11703889110797
12284979058424
13117241ca9a43
146d152575524
15372b739ac0a
hex1d317681d5c

2006142426460 has 48 divisors (see below), whose sum is σ = 4375376671680. Its totient is φ = 771996234240.

The previous prime is 2006142426341. The next prime is 2006142426487. The reversal of 2006142426460 is 646242416002.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15164496 + ... + 15296215.

It is an arithmetic number, because the mean of its divisors is an integer number (91153680660).

Almost surely, 22006142426460 is an apocalyptic number.

2006142426460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006142426460 is an abundant number, since it is smaller than the sum of its proper divisors (2369234245220).

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

2006142426460 is a wasteful number, since it uses less digits than its factorization.

2006142426460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30460846 (or 30460844 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 2006142426460 in words is "two trillion, six billion, one hundred forty-two million, four hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 89 148 178 185 356 370 445 740 890 1780 3293 6586 13172 16465 32930 65860 30460711 60921422 121842844 152303555 304607110 609214220 1127046307 2254092614 2711003279 4508185228 5422006558 5635231535 10844013116 11270463070 13555016395 22540926140 27110032790 54220065580 100307121323 200614242646 401228485292 501535606615 1003071213230 2006142426460