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20145355000 = 235423283619
BaseRepresentation
bin10010110000110000…
…011011100011111000
31220222222001001211021
4102300300123203320
5312224202330000
613131000512224
71312135456261
oct226060334370
956888031737
1020145355000
1185a8589421
123aa277b674
131b9083b504
14d91721968
157cd8ce11a
hex4b0c1b8f8

20145355000 has 160 divisors (see below), whose sum is σ = 49506652800. Its totient is φ = 7668144000.

The previous prime is 20145354973. The next prime is 20145355007. The reversal of 20145355000 is 55354102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20145355007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32544691 + ... + 32545309.

It is an arithmetic number, because the mean of its divisors is an integer number (309416580).

Almost surely, 220145355000 is an apocalyptic number.

20145355000 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 20145355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24753326400).

20145355000 is an abundant number, since it is smaller than the sum of its proper divisors (29361297800).

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

20145355000 is a wasteful number, since it uses less digits than its factorization.

20145355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 20145355000 in words is "twenty billion, one hundred forty-five million, three hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 283 460 500 566 575 619 625 920 1000 1132 1150 1238 1250 1415 2264 2300 2476 2500 2830 2875 3095 4600 4952 5000 5660 5750 6190 6509 7075 11320 11500 12380 13018 14150 14237 14375 15475 23000 24760 26036 28300 28474 28750 30950 32545 35375 52072 56600 56948 57500 61900 65090 70750 71185 77375 113896 115000 123800 130180 141500 142370 154750 162725 175177 176875 260360 283000 284740 309500 325450 350354 353750 355925 386875 569480 619000 650900 700708 707500 711850 773750 813625 875885 1301800 1401416 1415000 1423700 1547500 1627250 1751770 1779625 2847400 3095000 3254500 3503540 3559250 4029071 4068125 4379425 6509000 7007080 7118500 8058142 8136250 8758850 8898125 14237000 16116284 16272500 17517700 17796250 20145355 21897125 32232568 32545000 35035400 35592500 40290710 43794250 71185000 80581420 87588500 100726775 109485625 161162840 175177000 201453550 218971250 402907100 437942500 503633875 805814200 875885000 1007267750 2014535500 2518169375 4029071000 5036338750 10072677500 20145355000