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20060465700 = 22352117383273
BaseRepresentation
bin10010101011101100…
…100110101000100100
31220210001022020121010
4102223230212220210
5312040434400300
613114325222220
71310055100512
oct225354465044
956701266533
1020060465700
118564678880
123a7a261970
131b79088862
14d843454b2
157c6211a50
hex4abb26a24

20060465700 has 144 divisors (see below), whose sum is σ = 64186266816. Its totient is φ = 4796467200.

The previous prime is 20060465653. The next prime is 20060465731. The reversal of 20060465700 is 756406002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199264 + ... + 282536.

It is an arithmetic number, because the mean of its divisors is an integer number (445737964).

Almost surely, 220060465700 is an apocalyptic number.

20060465700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20060465700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32093133408).

20060465700 is an abundant number, since it is smaller than the sum of its proper divisors (44125801116).

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

20060465700 is a wasteful number, since it uses less digits than its factorization.

20060465700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83374 (or 83367 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 20060465700 in words is "twenty billion, sixty million, four hundred sixty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 73 75 100 110 132 146 150 165 219 220 275 292 300 330 365 438 550 660 730 803 825 876 1095 1100 1460 1606 1650 1825 2190 2409 3212 3300 3650 4015 4380 4818 5475 7300 8030 9636 10950 12045 16060 20075 21900 24090 40150 48180 60225 80300 83273 120450 166546 240900 249819 333092 416365 499638 832730 916003 999276 1249095 1665460 1832006 2081825 2498190 2748009 3664012 4163650 4580015 4996380 5496018 6078929 6245475 8327300 9160030 10992036 12157858 12490950 13740045 18236787 18320060 22900075 24315716 24981900 27480090 30394645 36473574 45800150 54960180 60789290 66868219 68700225 72947148 91183935 91600300 121578580 133736438 137400450 151973225 182367870 200604657 267472876 274800900 303946450 334341095 364735740 401209314 455919675 607892900 668682190 802418628 911839350 1003023285 1337364380 1671705475 1823678700 2006046570 3343410950 4012093140 5015116425 6686821900 10030232850 20060465700