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6016664052 = 2232767461773
BaseRepresentation
bin1011001101001111…
…10000000111110100
3120112022102012110100
411212213300013310
544310231222202
62433005554100
7302045541420
oct54647600764
916468365410
106016664052
112608282833
1211bab75930
1374b681959
14411109b80
1525332a41c
hex1669f01f4

6016664052 has 144 divisors (see below), whose sum is σ = 17702036352. Its totient is φ = 1687530240.

The previous prime is 6016664041. The next prime is 6016664099. The reversal of 6016664052 is 2504666106.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6016663998 and 6016664016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7783138 + ... + 7783910.

It is an arithmetic number, because the mean of its divisors is an integer number (122930808).

Almost surely, 26016664052 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 6016664052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8851018176).

6016664052 is an abundant number, since it is smaller than the sum of its proper divisors (11685372300).

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

6016664052 is a wasteful number, since it uses less digits than its factorization.

6016664052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6016664052 is about 77567.1583339238. The cubic root of 6016664052 is about 1818.8012929453.

The spelling of 6016664052 in words is "six billion, sixteen million, six hundred sixty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 461 469 603 773 804 922 938 1206 1383 1407 1546 1844 1876 2319 2412 2766 2814 3092 3227 4149 4221 4638 5411 5532 5628 6454 6957 8298 8442 9276 9681 10822 12908 13914 16233 16596 16884 19362 21644 27828 29043 30887 32466 38724 48699 51791 58086 61774 64932 92661 97398 103582 116172 123548 155373 185322 194796 207164 216209 277983 310746 356353 362537 370644 432418 466119 555966 621492 648627 712706 725074 864836 932238 1069059 1087611 1111932 1297254 1425412 1450148 1864476 1945881 2138118 2175222 2494471 2594508 3207177 3262833 3891762 4276236 4350444 4988942 6414354 6525666 7483413 7783524 9977884 12828708 13051332 14966826 22450239 23875651 29933652 44900478 47751302 71626953 89800956 95502604 143253906 167129557 214880859 286507812 334259114 429761718 501388671 668518228 859523436 1002777342 1504166013 2005554684 3008332026 6016664052