Search a number
-
+
9230979330304 = 28317316699547
BaseRepresentation
bin1000011001010100000100…
…1111100111000100000000
31012200110202211011112211121
42012111001033213010000
52202220021202032204
631344353043122024
71641626162453434
oct206250117470400
935613684145747
109230979330304
112a399221a9746
121051038373314
1351c629424c34
1423cad32dc9c4
151101bb726b54
hex865413e7100

9230979330304 has 144 divisors (see below), whose sum is σ = 19294408967680. Its totient is φ = 4402315837440.

The previous prime is 9230979330289. The next prime is 9230979330319. The reversal of 9230979330304 is 4030339790329.

It is an interprime number because it is at equal distance from previous prime (9230979330289) and next prime (9230979330319).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966893659 + ... + 966903205.

Almost surely, 29230979330304 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 9230979330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647204483840).

9230979330304 is an abundant number, since it is smaller than the sum of its proper divisors (10063429637376).

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

9230979330304 is a wasteful number, since it uses less digits than its factorization.

9230979330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11336 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 52.

The spelling of 9230979330304 in words is "nine trillion, two hundred thirty billion, nine hundred seventy-nine million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 73 124 128 146 248 256 292 496 584 992 1168 1669 1984 2263 2336 3338 3968 4526 4672 6676 7936 9052 9344 9547 13352 18104 18688 19094 26704 36208 38188 51739 53408 72416 76376 103478 106816 121837 144832 152752 206956 213632 243674 289664 295957 305504 413912 427264 487348 579328 591914 611008 696931 827824 974696 1183828 1222016 1393862 1655648 1949392 2367656 2444032 2787724 3311296 3776947 3898784 4735312 5575448 6622592 7553894 7797568 9470624 11150896 13245184 15107788 15595136 15933943 18941248 21604861 22301792 30215576 31190272 31867886 37882496 43209722 44603584 60431152 63735772 75764992 86419444 89207168 120862304 127471544 172838888 178414336 241724608 254943088 345677776 483449216 493952233 509886176 691355552 966898432 987904466 1019772352 1163177839 1382711104 1975808932 2039544704 2326355678 2765422208 3951617864 4079089408 4652711356 5530844416 7903235728 9305422712 15806471456 18610845424 31612942912 36058513009 37221690848 63225885824 72117026018 74443381696 126451771648 144234052036 148886763392 288468104072 297773526784 576936208144 1153872416288 2307744832576 4615489665152 9230979330304