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20195831228680 = 23519411514292273
BaseRepresentation
bin1001001011110001101010…
…10110001010100100001000
32122111200222012110122222101
410211320311112022210020
510121342030243304210
6110541500425003144
74153046345011432
oct445706526124410
978450865418871
1020195831228680
116487005251688
1223221070234b4
13b365c6a3c503
144db6aa815652
15250517348a3a
hex125e3558a908

20195831228680 has 128 divisors (see below), whose sum is σ = 49323378988800. Its totient is φ = 7417046016000.

The previous prime is 20195831228603. The next prime is 20195831228689. The reversal of 20195831228680 is 8682213859102.

It is not an unprimeable number, because it can be changed into a prime (20195831228689) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2559024 + ... + 6851296.

It is an arithmetic number, because the mean of its divisors is an integer number (385338898350).

Almost surely, 220195831228680 is an apocalyptic number.

20195831228680 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 20195831228680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24661689494400).

20195831228680 is an abundant number, since it is smaller than the sum of its proper divisors (29127547760120).

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

20195831228680 is a wasteful number, since it uses less digits than its factorization.

20195831228680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292495 (or 4292491 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 20195831228680 in words is "twenty trillion, one hundred ninety-five billion, eight hundred thirty-one million, two hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 151 152 164 190 205 302 328 380 410 604 755 760 779 820 1208 1510 1558 1640 2869 3020 3116 3895 5738 6040 6191 6232 7790 11476 12382 14345 15580 22952 24764 28690 30955 31160 49528 57380 61910 114760 117629 123820 235258 247640 470516 588145 941032 1176290 2352580 4292273 4705160 8584546 17169092 21461365 34338184 42922730 81553187 85845460 163106374 171690920 175983193 326212748 351966386 407765935 648133223 652425496 703932772 815531870 879915965 1296266446 1407865544 1631063740 1759831930 2592532892 3240666115 3262127480 3343680667 3519663860 5185065784 6481332230 6687361334 7039327720 12314531237 12962664460 13374722668 16718403335 24629062474 25925328920 26573462143 26749445336 33436806670 49258124948 53146924286 61572656185 66873613340 98516249896 106293848572 123145312370 132867310715 133747226680 212587697144 246290624740 265734621430 492581249480 504895780717 531469242860 1009791561434 1062938485720 2019583122868 2524478903585 4039166245736 5048957807170 10097915614340 20195831228680