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2994414645792 = 253314969202493
BaseRepresentation
bin101011100100110001000…
…001010111001000100000
3101121021002220102212212110
4223210301001113020200
5343030030122131132
610211340505555320
7426224246346423
oct53446101271040
911537086385773
102994414645792
11a54a19004469
124044074a5b40
131894ab632a9b
14a4d051c19ba
1552d592141cc
hex2b931057220

2994414645792 has 96 divisors (see below), whose sum is σ = 8115570731520. Its totient is φ = 965741045760.

The previous prime is 2994414645773. The next prime is 2994414645799. The reversal of 2994414645792 is 2975464144992.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×29944146457923 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2994414645799) 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, 14686498 + ... + 14888990.

It is an arithmetic number, because the mean of its divisors is an integer number (84537195120).

Almost surely, 22994414645792 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 2994414645792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057785365760).

2994414645792 is an abundant number, since it is smaller than the sum of its proper divisors (5121156085728).

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

2994414645792 is a wasteful number, since it uses less digits than its factorization.

2994414645792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207506 (or 207498 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 66.

The spelling of 2994414645792 in words is "two trillion, nine hundred ninety-four billion, four hundred fourteen million, six hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4969 9938 14907 19876 29814 39752 59628 79504 119256 154039 159008 202493 238512 308078 404986 462117 477024 607479 616156 809972 924234 1214958 1232312 1619944 1848468 2429916 2464624 3239888 3696936 4859832 4929248 6277283 6479776 7393872 9719664 12554566 14787744 18831849 19439328 25109132 37663698 50218264 75327396 100436528 150654792 200873056 301309584 602619168 1006187717 2012375434 3018563151 4024750868 6037126302 8049501736 12074252604 16099003472 24148505208 31191819227 32198006944 48297010416 62383638454 93575457681 96594020832 124767276908 187150915362 249534553816 374301830724 499069107632 748603661448 998138215264 1497207322896 2994414645792