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2994692910976 = 2713171021103687
BaseRepresentation
bin101011100101000001100…
…110110110111110000000
3101121021211022001012221101
4223211001212312332000
5343031112341122401
610211424250104144
7426234165513244
oct53450146667600
911537738035841
102994692910976
11a55051093198
1240448471b054
13189524190940
14a4d30138424
1552d7387d101
hex2b9419b6f80

2994692910976 has 128 divisors (see below), whose sum is σ = 6809576679360. Its totient is φ = 1299575439360.

The previous prime is 2994692910971. The next prime is 2994692911069. The reversal of 2994692910976 is 6790192964992.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×29946929109762 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2994692910899 and 2994692910908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2994692910971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28830205 + ... + 28933891.

Almost surely, 22994692910976 is an apocalyptic number.

2994692910976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2994692910976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404788339680).

2994692910976 is an abundant number, since it is smaller than the sum of its proper divisors (3814883768384).

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

2994692910976 is a wasteful number, since it uses less digits than its factorization.

2994692910976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104752 (or 104740 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 73.

The spelling of 2994692910976 in words is "two trillion, nine hundred ninety-four billion, six hundred ninety-two million, nine hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1021 1088 1664 1768 2042 2176 3536 4084 7072 8168 13273 14144 16336 17357 26546 28288 32672 34714 53092 65344 69428 103687 106184 130688 138856 207374 212368 225641 277712 414748 424736 451282 555424 829496 849472 902564 1110848 1347931 1658992 1698944 1762679 1805128 2221696 2695862 3317984 3525358 3610256 5391724 6635968 7050716 7220512 10783448 13271936 14101432 14441024 21566896 22914827 28202864 28882048 43133792 45829654 56405728 86267584 91659308 105864427 112811456 172535168 183318616 211728854 225622912 366637232 423457708 733274464 846915416 1376237551 1466548928 1693830832 1799695259 2752475102 2933097856 3387661664 3599390518 5504950204 6775323328 7198781036 11009900408 13550646656 14397562072 22019800816 23396038367 28795124144 44039601632 46792076734 57590248288 88079203264 93584153468 115180496576 176158406528 187168306936 230360993152 374336613872 748673227744 1497346455488 2994692910976