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5123210904 = 233376155547
BaseRepresentation
bin1001100010101110…
…11111111010011000
3111020001020002011000
410301113133322120
540443020222104
62204212105000
7240646400640
oct46127377230
914201202130
105123210904
112199a121a9
12bab905160
1363853b156
143685b5520
151eeb93639
hex1315dfe98

5123210904 has 128 divisors (see below), whose sum is σ = 16531084800. Its totient is φ = 1439752320.

The previous prime is 5123210893. The next prime is 5123210929. The reversal of 5123210904 is 4090123215.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 64459 + ... + 120005.

It is an arithmetic number, because the mean of its divisors is an integer number (129149100).

Almost surely, 25123210904 is an apocalyptic number.

5123210904 is a gapful number since it is divisible by the number (54) 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 5123210904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8265542400).

5123210904 is an abundant number, since it is smaller than the sum of its proper divisors (11407873896).

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

5123210904 is a wasteful number, since it uses less digits than its factorization.

5123210904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55630 (or 55620 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5123210904 is about 71576.6086371798. The cubic root of 5123210904 is about 1723.9079727220.

The spelling of 5123210904 in words is "five billion, one hundred twenty-three million, two hundred ten thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 244 252 366 378 427 488 504 549 732 756 854 1098 1281 1464 1512 1647 1708 2196 2562 3294 3416 3843 4392 5124 6588 7686 10248 11529 13176 15372 23058 30744 46116 55547 92232 111094 166641 222188 333282 388829 444376 499923 666564 777658 999846 1166487 1333128 1499769 1555316 1999692 2332974 2999538 3110632 3388367 3499461 3999384 4665948 5999076 6776734 6998922 9331896 10165101 10498383 11998152 13553468 13997844 20330202 20996766 23718569 27106936 27995688 30495303 40660404 41993532 47437138 60990606 71155707 81320808 83987064 91485909 94874276 121981212 142311414 182971818 189748552 213467121 243962424 284622828 365943636 426934242 569245656 640401363 731887272 853868484 1280802726 1707736968 2561605452 5123210904