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5127226992 = 243347673769
BaseRepresentation
bin1001100011001101…
…10100011001110000
3111020022210010012000
410301212310121300
541000032230432
62204434134000
7241025465436
oct46146643160
914208703160
105127226992
1121a1205588
12bb1121300
13639316134
14368d3cd56
152001d857c
hex1319b4670

5127226992 has 160 divisors (see below), whose sum is σ = 15258547200. Its totient is φ = 1647309312.

The previous prime is 5127226987. The next prime is 5127227003. The reversal of 5127226992 is 2996227215.

5127226992 is a `hidden beast` number, since 512 + 72 + 2 + 69 + 9 + 2 = 666.

Its product of digits (272160) is a multiple of the sum of its prime divisors (3888).

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, 1358484 + ... + 1362252.

It is an arithmetic number, because the mean of its divisors is an integer number (95365920).

Almost surely, 25127226992 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 5127226992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629273600).

5127226992 is an abundant number, since it is smaller than the sum of its proper divisors (10131320208).

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

5127226992 is a wasteful number, since it uses less digits than its factorization.

5127226992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3888 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 5127226992 is about 71604.6576138731. The cubic root of 5127226992 is about 1724.3583125553.

The spelling of 5127226992 in words is "five billion, one hundred twenty-seven million, two hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 67 72 94 108 134 141 144 188 201 216 268 282 376 402 423 432 536 564 603 752 804 846 1072 1128 1206 1269 1608 1692 1809 2256 2412 2538 3149 3216 3384 3618 3769 4824 5076 6298 6768 7236 7538 9447 9648 10152 11307 12596 14472 15076 18894 20304 22614 25192 28341 28944 30152 33921 37788 45228 50384 56682 60304 67842 75576 85023 90456 101763 113364 135684 151152 170046 177143 180912 203526 226728 252523 271368 340092 354286 407052 453456 505046 531429 542736 680184 708572 757569 814104 1010092 1062858 1360368 1417144 1515138 1594287 1628208 2020184 2125716 2272707 2834288 3030276 3188574 4040368 4251432 4545414 4782861 6060552 6377148 6818121 8502864 9090828 9565722 11868581 12121104 12754296 13636242 18181656 19131444 23737162 25508592 27272484 35605743 36363312 38262888 47474324 54544968 71211486 76525776 94948648 106817229 109089936 142422972 189897296 213634458 284845944 320451687 427268916 569691888 640903374 854537832 1281806748 1709075664 2563613496 5127226992