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6116650272 = 253241547947
BaseRepresentation
bin1011011001001010…
…01010110100100000
3120210021120000202200
411230211022310200
5100011330302042
62450541013200
7304401445425
oct55445126440
916707500680
106116650272
112659764977
121228554200
137662bc0b5
144204d5d4c
1525becac4c
hex16c94ad20

6116650272 has 144 divisors (see below), whose sum is σ = 17869898592. Its totient is φ = 1983421440.

The previous prime is 6116650261. The next prime is 6116650273. The reversal of 6116650272 is 2720566116.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (6116650273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6458503 + ... + 6459449.

It is an arithmetic number, because the mean of its divisors is an integer number (124096518).

Almost surely, 26116650272 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 6116650272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8934949296).

6116650272 is an abundant number, since it is smaller than the sum of its proper divisors (11753248320).

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

6116650272 is a wasteful number, since it uses less digits than its factorization.

6116650272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6116650272 is about 78209.0165645880. The cubic root of 6116650272 is about 1828.8210699253.

The spelling of 6116650272 in words is "six billion, one hundred sixteen million, six hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 547 656 738 947 984 1094 1312 1476 1641 1894 1968 2188 2841 2952 3282 3788 3936 4376 4923 5682 5904 6564 7576 8523 8752 9846 11364 11808 13128 15152 17046 17504 19692 22427 22728 26256 30304 34092 38827 39384 44854 45456 52512 67281 68184 77654 78768 89708 90912 116481 134562 136368 155308 157536 179416 201843 232962 269124 272736 310616 349443 358832 403686 465924 518009 538248 621232 698886 717664 807372 931848 1036018 1076496 1242464 1397772 1554027 1614744 1863696 2072036 2152992 2795544 3108054 3229488 3727392 4144072 4662081 5591088 6216108 6458976 8288144 9324162 11182176 12432216 16576288 18648324 21238369 24864432 37296648 42476738 49728864 63715107 74593296 84953476 127430214 149186592 169906952 191145321 254860428 339813904 382290642 509720856 679627808 764581284 1019441712 1529162568 2038883424 3058325136 6116650272