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9114769920 = 29354872437
BaseRepresentation
bin10000111110100100…
…00101101000000000
3212112020001021202010
420133102011220000
5122131340114140
64104241052520
7441605160144
oct103722055000
925466037663
109114769920
113958060603
121924627140
13b234957a9
1462676d224
153852ec880
hex21f485a00

9114769920 has 160 divisors (see below), whose sum is σ = 29210594688. Its totient is φ = 2424619008.

The previous prime is 9114769913. The next prime is 9114769957. The reversal of 9114769920 is 299674119.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9114769920.

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, 3738942 + ... + 3741378.

Almost surely, 29114769920 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 9114769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605297344).

9114769920 is an abundant number, since it is smaller than the sum of its proper divisors (20095824768).

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

9114769920 is a wasteful number, since it uses less digits than its factorization.

9114769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 9114769920 is about 95471.3041704155. The cubic root of 9114769920 is about 2088.8883934073. Note that the first 3 decimals are identical.

The spelling of 9114769920 in words is "nine billion, one hundred fourteen million, seven hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 487 512 640 768 960 974 1280 1461 1536 1920 1948 2435 2437 2560 2922 3840 3896 4870 4874 5844 7305 7311 7680 7792 9740 9748 11688 12185 14610 14622 15584 19480 19496 23376 24370 29220 29244 31168 36555 38960 38992 46752 48740 58440 58488 62336 73110 77920 77984 93504 97480 116880 116976 124672 146220 155840 155968 187008 194960 233760 233952 249344 292440 311680 311936 374016 389920 467520 467904 584880 623360 623872 748032 779840 935040 935808 1169760 1186819 1246720 1247744 1559680 1870080 1871616 2339520 2373638 3119360 3560457 3740160 3743232 4679040 4747276 5934095 6238720 7120914 9358080 9494552 11868190 14241828 17802285 18716160 18989104 23736380 28483656 35604570 37978208 47472760 56967312 71209140 75956416 94945520 113934624 142418280 151912832 189891040 227869248 284836560 303825664 379782080 455738496 569673120 607651328 759564160 911476992 1139346240 1519128320 1822953984 2278692480 3038256640 4557384960 9114769920