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5370011280 = 2432537201577
BaseRepresentation
bin1010000000001001…
…11101111010010000
3111212020121211121200
411000010331322100
541444210330110
62244505551200
7250034225364
oct50004757220
914766554550
105370011280
11230625aa57
12105a4a5500
1367770038a
1438d29b2a4
152166946c0
hex14013de90

5370011280 has 120 divisors (see below), whose sum is σ = 18521792952. Its totient is φ = 1393293312.

The previous prime is 5370011267. The next prime is 5370011291. The reversal of 5370011280 is 821100735.

5370011280 is a `hidden beast` number, since 5 + 370 + 0 + 11 + 280 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1648035216 + 3721976064 = 40596^2 + 61008^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×53700112802 = 57674042294654476800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74149 + ... + 127428.

Almost surely, 25370011280 is an apocalyptic number.

It is an amenable number.

5370011280 is an abundant number, since it is smaller than the sum of its proper divisors (13151781672).

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

5370011280 is a wasteful number, since it uses less digits than its factorization.

5370011280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201633 (or 201624 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5370011280 is about 73280.3608069720. The cubic root of 5370011280 is about 1751.1569253280.

It can be divided in two parts, 53700 and 11280, that added together give a triangular number (64980 = T360).

The spelling of 5370011280 in words is "five billion, three hundred seventy million, eleven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 201577 403154 604731 806308 1007885 1209462 1612616 1814193 2015770 2418924 3023655 3225232 3628386 4031540 4837848 6047310 7256772 7458349 8063080 9070965 9675696 12094620 14513544 14916698 16126160 18141930 22375047 24189240 29027088 29833396 36283860 37291745 44750094 48378480 59666792 67125141 72567720 74583490 89500188 111875235 119333584 134250282 145135440 149166980 179000376 223750470 268500564 298333960 335625705 358000752 447500940 537001128 596667920 671251410 895001880 1074002256 1342502820 1790003760 2685005640 5370011280