Search a number
-
+
6426322157960 = 23547282787943
BaseRepresentation
bin101110110000011111010…
…1001100100000110001000
3211202100110102220002110022
41131200332221210012020
51320242101433023320
621400113414240012
71232200153031405
oct135407651440610
924670412802408
106426322157960
11205842a362701
1287956a356008
13377ccc0ca023
1418306db872ac
15b226b66e325
hex5d83ea64188

6426322157960 has 96 divisors (see below), whose sum is σ = 14791445588160. Its totient is φ = 2512766062464.

The previous prime is 6426322157933. The next prime is 6426322157971. The reversal of 6426322157960 is 697512236246.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 73029749 + ... + 73117691.

It is an arithmetic number, because the mean of its divisors is an integer number (154077558210).

Almost surely, 26426322157960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6426322157960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395722794080).

6426322157960 is an abundant number, since it is smaller than the sum of its proper divisors (8365123430200).

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

6426322157960 is a wasteful number, since it uses less digits than its factorization.

6426322157960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88875 (or 88824 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 6426322157960 in words is "six trillion, four hundred twenty-six billion, three hundred twenty-two million, one hundred fifty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 827 940 1654 1880 2209 3308 4135 4418 6616 8270 8836 11045 16540 17672 22090 33080 38869 44180 77738 87943 88360 155476 175886 194345 310952 351772 388690 439715 703544 777380 879430 1554760 1758860 1826843 3517720 3653686 4133321 7307372 8266642 9134215 14614744 16533284 18268430 20666605 33066568 36536860 41333210 72728861 73073720 82666420 145457722 165332840 194266087 290915444 363644305 388532174 581830888 727288610 777064348 971330435 1454577220 1554128696 1942660870 2909154440 3418256467 3885321740 6836512934 7770643480 13673025868 17091282335 27346051736 34182564670 68365129340 136730258680 160658053949 321316107898 642632215796 803290269745 1285264431592 1606580539490 3213161078980 6426322157960