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2992233498716 = 2271197967103573
BaseRepresentation
bin101011100010101111000…
…000111100100001011100
3101121001110220020010120102
4223202233000330201130
5343011043233424331
610210340232240232
7426116223041150
oct53425700744134
911531426203512
102992233498716
11a53aa9891380
12403ab8b40078
131892217a2707
14a4b79651060
1552c7c9bd4cb
hex2b8af03c85c

2992233498716 has 96 divisors (see below), whose sum is σ = 6602698324992. Its totient is φ = 1152582359040.

The previous prime is 2992233498677. The next prime is 2992233498721. The reversal of 2992233498716 is 6178943322992.

It is a super-3 number, since 3×29922334987163 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 28838306 + ... + 28941878.

It is an arithmetic number, because the mean of its divisors is an integer number (68778107552).

Almost surely, 22992233498716 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 2992233498716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301349162496).

2992233498716 is an abundant number, since it is smaller than the sum of its proper divisors (3610464826276).

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

2992233498716 is a wasteful number, since it uses less digits than its factorization.

2992233498716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104659 (or 104657 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 65.

The spelling of 2992233498716 in words is "two trillion, nine hundred ninety-two billion, two hundred thirty-three million, four hundred ninety-eight thousand, seven hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 97 154 194 308 388 679 967 1067 1358 1934 2134 2716 3868 4268 6769 7469 10637 13538 14938 21274 27076 29876 42548 74459 93799 103573 148918 187598 207146 297836 375196 414292 656593 725011 1031789 1139303 1313186 1450022 2063578 2278606 2626372 2900044 4127156 4557212 7222523 7975121 10046581 14445046 15950242 20093162 28890092 31900484 40186324 70326067 100155091 110512391 140652134 200310182 221024782 281304268 400620364 442049564 701085637 773586737 1101706001 1402171274 1547173474 2203412002 2804342548 3094346948 4406824004 7711942007 9715043827 15423884014 19430087654 30847768028 38860175308 68005306789 106865482097 136010613578 213730964194 272021227156 427461928388 748058374679 1496116749358 2992233498716