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5165226456 = 23313191018627
BaseRepresentation
bin1001100111101111…
…10001100111011000
3111022222021200122120
410303313301213120
541034244221311
62212312421240
7241666462155
oct46367614730
914288250576
105165226456
1122106aa0a5
1210019a7820
1364415c220
1436ddd122c
152036e2706
hex133df19d8

5165226456 has 128 divisors (see below), whose sum is σ = 14784940800. Its totient is φ = 1490572800.

The previous prime is 5165226439. The next prime is 5165226461. The reversal of 5165226456 is 6546225615.

It is a happy number.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 594415 + ... + 603041.

It is an arithmetic number, because the mean of its divisors is an integer number (115507350).

Almost surely, 25165226456 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 5165226456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392470400).

5165226456 is an abundant number, since it is smaller than the sum of its proper divisors (9619714344).

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

5165226456 is a wasteful number, since it uses less digits than its factorization.

5165226456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8769 (or 8765 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 5165226456 is about 71869.5099190192. The cubic root of 5165226456 is about 1728.6077492955.

The spelling of 5165226456 in words is "five billion, one hundred sixty-five million, two hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 101 104 114 152 156 202 228 247 303 312 404 456 494 606 741 808 988 1212 1313 1482 1919 1976 2424 2626 2964 3838 3939 5252 5757 5928 7676 7878 8627 10504 11514 15352 15756 17254 23028 24947 25881 31512 34508 46056 49894 51762 69016 74841 99788 103524 112151 149682 163913 199576 207048 224302 299364 327826 336453 448604 491739 598728 655652 672906 871327 897208 983478 1311304 1345812 1742654 1966956 2130869 2613981 2691624 3485308 3933912 4261738 5227962 6392607 6970616 8523476 10455924 11327251 12785214 16555213 17046952 20911848 22654502 25570428 33110426 33981753 45309004 49665639 51140856 66220852 67963506 90618008 99331278 132441704 135927012 198662556 215217769 271854024 397325112 430435538 645653307 860871076 1291306614 1721742152 2582613228 5165226456