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2474114742 = 2321137418237
BaseRepresentation
bin1001001101110111…
…1111111010110110
320101102111001101100
42103131333322312
520031333132432
61045300510530
7115211425341
oct22335777266
96342431340
102474114742
11105a634030
125906ab446
13305768328
14196833458
15e731607c
hex9377feb6

2474114742 has 96 divisors (see below), whose sum is σ = 6153192864. Its totient is φ = 711590400.

The previous prime is 2474114717. The next prime is 2474114789.

2474114742 is a `hidden beast` number, since 2 + 474 + 1 + 147 + 42 = 666.

2474114742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24741147422 = 12242487513163453128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2474114697 and 2474114706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296248 + ... + 304484.

It is an arithmetic number, because the mean of its divisors is an integer number (64095759).

Almost surely, 22474114742 is an apocalyptic number.

2474114742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2474114742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076596432).

2474114742 is an abundant number, since it is smaller than the sum of its proper divisors (3679078122).

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

2474114742 is a wasteful number, since it uses less digits than its factorization.

2474114742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 8331 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 2474114742 is about 49740.4738819404. The cubic root of 2474114742 is about 1352.5083209764.

The spelling of 2474114742 in words is "two billion, four hundred seventy-four million, one hundred fourteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 41 66 74 82 99 111 123 198 222 246 333 369 407 451 666 738 814 902 1221 1353 1517 2442 2706 3034 3663 4059 4551 7326 8118 8237 9102 13653 16474 16687 24711 27306 33374 49422 50061 74133 90607 100122 148266 150183 181214 271821 300366 304769 337717 543642 609538 675434 815463 914307 1013151 1630926 1828614 2026302 2742921 3039453 3352459 3714887 5485842 6078906 6704918 7429774 10057377 11144661 12495529 20114754 22289322 24991058 30172131 33433983 37486587 60344262 66867966 74973174 112459761 137450819 224919522 274901638 412352457 824704914 1237057371 2474114742