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4007036734074 = 23211238311105871
BaseRepresentation
bin111010010011110110000…
…000000100101001111010
3112012001212021112211101200
4322103312000010221322
51011122402400442244
612304450211355030
7562333051155603
oct72236600045172
915161767484350
104007036734074
111305413856080
125487105b2a76
13230b288c37ca
14dbd27adcdaa
156e373b2d669
hex3a4f6004a7a

4007036734074 has 96 divisors (see below), whose sum is σ = 9884250574848. Its totient is φ = 1161309204000.

The previous prime is 4007036734067. The next prime is 4007036734109. The reversal of 4007036734074 is 4704376307004.

4007036734074 is a `hidden beast` number, since 400 + 70 + 3 + 6 + 73 + 40 + 74 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37795359 + ... + 37901229.

It is an arithmetic number, because the mean of its divisors is an integer number (102960943488).

Almost surely, 24007036734074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007036734074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942125287424).

4007036734074 is an abundant number, since it is smaller than the sum of its proper divisors (5877213840774).

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

4007036734074 is a wasteful number, since it uses less digits than its factorization.

4007036734074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114224 (or 114221 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 4007036734074 in words is "four trillion, seven billion, thirty-six million, seven hundred thirty-four thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 8311 16622 24933 49866 74799 91421 105871 149598 182842 191153 211742 274263 317613 382306 548526 573459 635226 822789 952839 1146918 1164581 1645578 1720377 1905678 2102683 2329162 2435033 3440754 3493743 4205366 4870066 6308049 6987486 7305099 10481229 12616098 14610198 18924147 20962458 21915297 26785363 37848294 43830594 53570726 80356089 160712178 241068267 482136534 879893881 1759787762 2639681643 5279363286 7919044929 9678832691 15838089858 19357665382 20237559263 29036498073 40475118526 58072996146 60712677789 87109494219 121425355578 174218988438 182138033367 222613151893 364276066734 445226303786 667839455679 1335678911358 2003518367037 4007036734074