Search a number
-
+
7007034007404 = 22341131731106279
BaseRepresentation
bin110010111110111001111…
…0001011101111101101100
3220210212101020200120120000
41211331303301131331230
51404300401201214104
622522553104424300
71322145556225344
oct145756361357554
926725336616500
107007034007404
11226173702a202
12952015618090
133ba9b69aa5a2
141a31dc4c5d24
15c2407ed4639
hex65f73c5df6c

7007034007404 has 120 divisors (see below), whose sum is σ = 18586712057760. Its totient is φ = 2301624654336.

The previous prime is 7007034007361. The next prime is 7007034007411. The reversal of 7007034007404 is 4047004307007.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5780737 + ... + 6887015.

It is an arithmetic number, because the mean of its divisors is an integer number (154889267148).

Almost surely, 27007034007404 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 7007034007404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9293356028880).

7007034007404 is an abundant number, since it is smaller than the sum of its proper divisors (11579678050356).

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

7007034007404 is a wasteful number, since it uses less digits than its factorization.

7007034007404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106581 (or 1106570 counting only the distinct ones).

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

The spelling of 7007034007404 in words is "seven trillion, seven billion, thirty-four million, seven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 173 226 324 339 346 452 519 678 692 1017 1038 1356 1557 2034 2076 3051 3114 4068 4671 6102 6228 9153 9342 12204 14013 18306 18684 19549 28026 36612 39098 56052 58647 78196 117294 175941 234588 351882 527823 703764 1055646 1106279 1583469 2111292 2212558 3166938 3318837 4425116 6333876 6637674 9956511 13275348 19913022 29869533 39826044 59739066 89608599 119478132 125009527 179217198 191386267 250019054 358434396 375028581 382772534 500038108 574158801 750057162 765545068 1125085743 1148317602 1500114324 1722476403 2250171486 2296635204 3375257229 3444952806 4500342972 5167429209 6750514458 6889905612 10125771687 10334858418 13501028916 15502287627 20251543374 20669716836 21626648171 31004575254 40503086748 43253296342 62009150508 64879944513 86506592684 129759889026 194639833539 259519778052 389279667078 583919500617 778559334156 1167839001234 1751758501851 2335678002468 3503517003702 7007034007404