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20440604626640 = 24511171891351327
BaseRepresentation
bin1001010010111001100101…
…11110100100111011010000
32200101002202212210121222022
410221130302332210323100
510134344324241023030
6111250141212231012
74206533144402402
oct451346276447320
980332685717868
1020440604626640
1165708a2476410
12236163916b468
13b53705030073
1450948b01ab72
15256a91399de5
hex129732fa4ed0

20440604626640 has 80 divisors (see below), whose sum is σ = 51847860810240. Its totient is φ = 7432509212160.

The previous prime is 20440604626627. The next prime is 20440604626697. The reversal of 20440604626640 is 4662640604402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 20440604626591 and 20440604626600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14450657 + ... + 15801983.

It is an arithmetic number, because the mean of its divisors is an integer number (648098260128).

Almost surely, 220440604626640 is an apocalyptic number.

20440604626640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20440604626640 is an abundant number, since it is smaller than the sum of its proper divisors (31407256183600).

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

20440604626640 is a wasteful number, since it uses less digits than its factorization.

20440604626640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368540 (or 1368534 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 20440604626640 in words is "twenty trillion, four hundred forty billion, six hundred four million, six hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 17189 34378 68756 85945 137512 171890 189079 275024 343780 378158 687560 756316 945395 1351327 1375120 1512632 1890790 2702654 3025264 3781580 5405308 6756635 7563160 10810616 13513270 14864597 15126320 21621232 27026540 29729194 54053080 59458388 74322985 108106160 118916776 148645970 237833552 297291940 594583880 1189167760 23227959803 46455919606 92911839212 116139799015 185823678424 232279598030 255507557833 371647356848 464559196060 511015115666 929118392120 1022030231332 1277537789165 1858236784240 2044060462664 2555075578330 4088120925328 5110151156660 10220302313320 20440604626640