Search a number
-
+
6148869120 = 210325133439
BaseRepresentation
bin1011011101000000…
…00100110000000000
3120212112011220201100
411232200010300000
5100043102302440
62454051334400
7305242345062
oct55640046000
916775156640
106148869120
112675970419
1212372b1400
1376cb8ccc4
144248c1732
1525ec42230
hex16e804c00

6148869120 has 132 divisors (see below), whose sum is σ = 21305831040. Its totient is φ = 1639686144.

The previous prime is 6148869109. The next prime is 6148869121. The reversal of 6148869120 is 219688416.

6148869120 is a `hidden beast` number, since 61 + 488 + 6 + 91 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6148869121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20640 + ... + 112799.

Almost surely, 26148869120 is an apocalyptic number.

6148869120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6148869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10652915520).

6148869120 is an abundant number, since it is smaller than the sum of its proper divisors (15156961920).

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

6148869120 is a wasteful number, since it uses less digits than its factorization.

6148869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133470 (or 133449 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6148869120 is about 78414.7251477680. The cubic root of 6148869120 is about 1832.0264928823.

The spelling of 6148869120 in words is "six billion, one hundred forty-eight million, eight hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 133439 266878 400317 533756 667195 800634 1067512 1200951 1334390 1601268 2001585 2135024 2401902 2668780 3202536 4003170 4270048 4803804 5337560 6004755 6405072 8006340 8540096 9607608 10675120 12009510 12810144 16012680 17080192 19215216 21350240 24019020 25620288 32025360 34160384 38430432 42700480 48038040 51240576 64050720 68320768 76860864 85400960 96076080 102481152 128101440 136641536 153721728 170801920 192152160 204962304 256202880 307443456 341603840 384304320 409924608 512405760 614886912 683207680 768608640 1024811520 1229773824 1537217280 2049623040 3074434560 6148869120