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20700105155660 = 2257798443221677
BaseRepresentation
bin1001011010011100111100…
…11010100010010001001100
32201021220120220211100211202
410231032132122202101030
510203122303404440120
6112005255205205032
74234350621452450
oct455163632422114
981256526740752
1020700105155660
116660957789737
1223a399b400778
13b7201c47b058
14517c674d6660
1525d6cd2b0875
hex12d39e6a244c

20700105155660 has 96 divisors (see below), whose sum is σ = 50315301980160. Its totient is φ = 7006479637248.

The previous prime is 20700105155647. The next prime is 20700105155669. The reversal of 20700105155660 is 6655150100702.

It is not an unprimeable number, because it can be changed into a prime (20700105155669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93268742 + ... + 93490418.

It is an arithmetic number, because the mean of its divisors is an integer number (524117728960).

Almost surely, 220700105155660 is an apocalyptic number.

20700105155660 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 20700105155660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25157650990080).

20700105155660 is an abundant number, since it is smaller than the sum of its proper divisors (29615196824500).

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

20700105155660 is a wasteful number, since it uses less digits than its factorization.

20700105155660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230215 (or 230213 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 20700105155660 in words is "twenty trillion, seven hundred billion, one hundred five million, one hundred fifty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 5530 8443 11060 16886 33772 42215 59101 84430 118202 168860 221677 236404 295505 443354 591010 666997 886708 1108385 1182020 1333994 1551739 2216770 2667988 3103478 3334985 4433540 4668979 6206956 6669970 7758695 9337958 13339940 15517390 17512483 18675916 23344895 31034780 35024966 46689790 70049932 87562415 93379580 122587381 175124830 245174762 350249660 490349524 612936905 1225873810 1871618911 2451747620 3743237822 7486475644 9358094555 13101332377 18716189110 26202664754 37432378220 52405329508 65506661885 131013323770 147857893969 262026647540 295715787938 591431575876 739289469845 1035005257783 1478578939690 2070010515566 2957157879380 4140021031132 5175026288915 10350052577830 20700105155660