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20413526300664 = 2337238363650647
BaseRepresentation
bin1001010010000111001001…
…11110111101011111111000
32200021111212202011010220020
410221003210332331133320
510133423400213110124
6111225502225530440
74204554132414540
oct451034476753770
980244782133806
1020413526300664
116560367465312
1223583407a3a20
13b50cab057083
1450803ca2a320
15256008ee2379
hex1290e4fbd7f8

20413526300664 has 128 divisors (see below), whose sum is σ = 61593459056640. Its totient is φ = 5511636738432.

The previous prime is 20413526300647. The next prime is 20413526300693. The reversal of 20413526300664 is 46600362531402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31504612 + ... + 32146035.

It is an arithmetic number, because the mean of its divisors is an integer number (481198898880).

Almost surely, 220413526300664 is an apocalyptic number.

20413526300664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20413526300664 is an abundant number, since it is smaller than the sum of its proper divisors (41179932755976).

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

20413526300664 is a wasteful number, since it uses less digits than its factorization.

20413526300664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63650769 (or 63650765 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 20413526300664 in words is "twenty trillion, four hundred thirteen billion, five hundred twenty-six million, three hundred thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 83 84 92 138 161 166 168 184 249 276 322 332 483 498 552 581 644 664 966 996 1162 1288 1743 1909 1932 1992 2324 3486 3818 3864 4648 5727 6972 7636 11454 13363 13944 15272 22908 26726 40089 45816 53452 80178 106904 160356 320712 63650647 127301294 190951941 254602588 381903882 445554529 509205176 763807764 891109058 1336663587 1463964881 1527615528 1782218116 2673327174 2927929762 3564436232 4391894643 5283003701 5346654348 5855859524 8783789286 10247754167 10566007402 10693308696 11711719048 15849011103 17567578572 20495508334 21132014804 30743262501 31698022206 35135157144 36981025907 40991016668 42264029608 61486525002 63396044412 73962051814 81982033336 110943077721 121509085123 122973050004 126792088824 147924103628 221886155442 243018170246 245946100008 295848207256 364527255369 443772310884 486036340492 729054510738 850563595861 887544621768 972072680984 1458109021476 1701127191722 2551690787583 2916218042952 3402254383444 5103381575166 6804508766888 10206763150332 20413526300664