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950996116 = 2272172103163
BaseRepresentation
bin111000101011110…
…000110010010100
32110021110121102101
4320223300302110
53421423333431
6234211051444
732365222300
oct7053606224
92407417371
10950996116
114488a3504
122265a0b84
131220402c5
1490432d00
1558751961
hex38af0c94

950996116 has 108 divisors (see below), whose sum is σ = 2089240608. Its totient is φ = 377540352.

The previous prime is 950996087. The next prime is 950996129. The reversal of 950996116 is 611699059.

It is a super-2 number, since 2×9509961162 = 1808787225294170912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5834251 + ... + 5834413.

Almost surely, 2950996116 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 950996116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044620304).

950996116 is an abundant number, since it is smaller than the sum of its proper divisors (1138244492).

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

950996116 is a wasteful number, since it uses less digits than its factorization.

950996116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 46.

The square root of 950996116 is about 30838.2249164896. The cubic root of 950996116 is about 983.3910417407.

It can be divided in two parts, 9509 and 96116, that added together give a square (105625 = 3252).

The spelling of 950996116 in words is "nine hundred fifty million, nine hundred ninety-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 103 119 163 196 206 238 289 326 412 476 578 652 721 833 1141 1156 1442 1666 1751 2023 2282 2771 2884 3332 3502 4046 4564 5047 5542 7004 7987 8092 10094 11084 12257 14161 15974 16789 19397 20188 24514 28322 29767 31948 33578 38794 47107 49028 56644 59534 67156 77588 85799 94214 117523 119068 135779 171598 188428 208369 235046 271558 285413 329749 343196 416738 470092 543116 570826 659498 822661 833476 1141652 1318996 1458583 1645322 1997891 2308243 2917166 3290644 3995782 4616486 4852021 5834332 7991564 9232972 9704042 13985237 19408084 27970474 33964147 55940948 67928294 135856588 237749029 475498058 950996116