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8272630116 = 22343121632
BaseRepresentation
bin1111011010001011…
…00101000101100100
3210100112102011010000
413231011211011210
5113420243130431
63444515101300
7412001124102
oct75505450544
923315364100
108272630116
1135657584a3
12172a5a1830
13a1ab7a10a
14586994c72
153363ee9e6
hex1ed165164

8272630116 has 135 divisors (see below), whose sum is σ = 22484351043. Its totient is φ = 2652218640.

The previous prime is 8272630081. The next prime is 8272630141. The reversal of 8272630116 is 6110362728.

The square root of 8272630116 is 90954.

It is a perfect power (a square), and thus also a powerful number.

8272630116 is a `hidden beast` number, since 8 + 2 + 7 + 2 + 630 + 1 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50752251 + ... + 50752413.

Almost surely, 28272630116 is an apocalyptic number.

8272630116 is the 90954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8272630116

8272630116 is an abundant number, since it is smaller than the sum of its proper divisors (14211720927).

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

8272630116 is a wasteful number, since it uses less digits than its factorization.

8272630116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 8272630116 is about 2022.4658736869.

Multiplying 8272630116 by its sum of digits (36), we get a square (297814684176 = 5457242).

8272630116 divided by its sum of digits (36) gives a square (229795281 = 151592).

The spelling of 8272630116 in words is "eight billion, two hundred seventy-two million, six hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 163 186 279 324 326 372 489 558 652 837 961 978 1116 1467 1674 1922 1956 2511 2883 2934 3348 3844 4401 5022 5053 5766 5868 8649 8802 10044 10106 11532 13203 15159 17298 17604 20212 25947 26406 26569 30318 34596 45477 51894 52812 53138 60636 77841 79707 90954 103788 106276 136431 155682 156643 159414 181908 239121 272862 311364 313286 318828 409293 469929 478242 545724 626572 717363 818586 823639 939858 956484 1409787 1434726 1637172 1647278 1879716 2152089 2470917 2819574 2869452 3294556 4229361 4304178 4941834 5639148 7412751 8458722 8608356 9883668 12688083 14825502 16917444 22238253 25376166 25532809 29651004 44476506 50752332 51065618 66714759 76598427 88953012 102131236 133429518 153196854 229795281 266859036 306393708 459590562 689385843 919181124 1378771686 2068157529 2757543372 4136315058 8272630116