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707407034004 = 2232112182389083
BaseRepresentation
bin10100100101101001011…
…11101011011010010100
32111121221102010201012200
422102310233223122110
543042232200042004
61300551151444500
7102052130401566
oct12226457533224
92447842121180
10707407034004
11253011912a00
12b5125226730
1351928ba7cb8
142634ad37336
15136044c4239
hexa4b4beb694

707407034004 has 108 divisors (see below), whose sum is σ = 1966606981248. Its totient is φ = 214245773280.

The previous prime is 707407033987. The next prime is 707407034017. The reversal of 707407034004 is 400430704707.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 707407034004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7896447 + ... + 7985529.

Almost surely, 2707407034004 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 707407034004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983303490624).

707407034004 is an abundant number, since it is smaller than the sum of its proper divisors (1259199947244).

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

707407034004 is a wasteful number, since it uses less digits than its factorization.

707407034004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90938 (or 90922 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

It can be divided in two parts, 70740703 and 4004, that added together give a palindrome (70744707).

The spelling of 707407034004 in words is "seven hundred seven billion, four hundred seven million, thirty-four thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1823 2178 3646 4356 5469 7292 10938 16407 20053 21876 32814 40106 60159 65628 80212 89083 120318 178166 180477 220583 240636 267249 356332 360954 441166 534498 661749 721908 801747 882332 979913 1068996 1323498 1603494 1959826 1985247 2646996 2939739 3206988 3919652 3970494 5879478 7940988 8819217 10779043 11758956 17638434 21558086 32337129 35276868 43116172 64674258 97011387 129348516 162398309 194022774 324796618 388045548 487194927 649593236 974389854 1461584781 1786381399 1948779708 2923169562 3572762798 5359144197 5846339124 7145525596 10718288394 16077432591 19650195389 21436576788 32154865182 39300390778 58950586167 64309730364 78600781556 117901172334 176851758501 235802344668 353703517002 707407034004