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4921816320 = 28325427241
BaseRepresentation
bin1001001010101110…
…01111010100000000
3110201000021011201100
410211113033110000
540034441110240
62132215334400
7232652514501
oct44527172400
913630234640
104921816320
1120a62674a3
12b54381400
136058b6165
1434994cba8
151dc160e30
hex1255cf500

4921816320 has 108 divisors (see below), whose sum is σ = 17029011636. Its totient is φ = 1312481280.

The previous prime is 4921816307. The next prime is 4921816343. The reversal of 4921816320 is 236181294.

4921816320 is a `hidden beast` number, since 4 + 9 + 2 + 18 + 1 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 772395264 + 4149421056 = 27792^2 + 64416^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202101 + ... + 225140.

Almost surely, 24921816320 is an apocalyptic number.

4921816320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4921816320 is an abundant number, since it is smaller than the sum of its proper divisors (12107195316).

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

4921816320 is a wasteful number, since it uses less digits than its factorization.

4921816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427268 (or 427251 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4921816320 is about 70155.6577903735. The cubic root of 4921816320 is about 1701.0162689340.

It can be divided in two parts, 492181 and 6320, that added together give a triangular number (498501 = T998).

The spelling of 4921816320 in words is "four billion, nine hundred twenty-one million, eight hundred sixteen thousand, three 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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 427241 854482 1281723 1708964 2136205 2563446 3417928 3845169 4272410 5126892 6408615 6835856 7690338 8544820 10253784 12817230 13671712 15380676 17089640 19225845 20507568 25634460 27343424 30761352 34179280 38451690 41015136 51268920 54686848 61522704 68358560 76903380 82030272 102537840 109373696 123045408 136717120 153806760 164060544 205075680 246090816 273434240 307613520 328121088 410151360 492181632 546868480 615227040 820302720 984363264 1230454080 1640605440 2460908160 4921816320