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6135123324 = 22311315992503
BaseRepresentation
bin1011011011010111…
…01000110101111100
3120211120022120000210
411231223220311330
5100031042421244
62452440552420
7305014454631
oct55553506574
916746276023
106135123324
112669131a60
121232782710
1376a0894b5
14422b44188
1525d9294b9
hex16dae8d7c

6135123324 has 96 divisors (see below), whose sum is σ = 16153804800. Its totient is φ = 1795435200.

The previous prime is 6135123311. The next prime is 6135123347. The reversal of 6135123324 is 4233215316.

It is a junction number, because it is equal to n+sod(n) for n = 6135123291 and 6135123300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2449857 + ... + 2452359.

It is an arithmetic number, because the mean of its divisors is an integer number (168268800).

Almost surely, 26135123324 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 6135123324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8076902400).

6135123324 is an abundant number, since it is smaller than the sum of its proper divisors (10018681476).

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

6135123324 is a wasteful number, since it uses less digits than its factorization.

6135123324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3149 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 6135123324 is about 78327.0280554548. The cubic root of 6135123324 is about 1830.6603093579.

The spelling of 6135123324 in words is "six billion, one hundred thirty-five million, one hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 599 682 1023 1198 1364 1797 2046 2396 2503 3594 4092 5006 6589 7188 7509 10012 13178 15018 18569 19767 26356 27533 30036 37138 39534 55066 55707 74276 77593 79068 82599 110132 111414 155186 165198 204259 222828 232779 310372 330396 408518 465558 612777 817036 853523 931116 1225554 1499297 1707046 2451108 2560569 2998594 3414092 4497891 5121138 5997188 8995782 10242276 16492267 17991564 32984534 46478207 49476801 65969068 92956414 98953602 139434621 185912828 197907204 278869242 511260277 557738484 1022520554 1533780831 2045041108 3067561662 6135123324