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6742047480 = 2335748716481
BaseRepresentation
bin1100100011101101…
…10111101011111000
3122101212100111110020
412101312313223320
5102301431004410
63033001250440
7326034313050
oct62166675370
918355314406
106742047480
11294a78a073
121381a93a20
13835a3a90c
1447d5b0560
15296d63a70
hex191db7af8

6742047480 has 128 divisors (see below), whose sum is σ = 23164462080. Its totient is φ = 1537781760.

The previous prime is 6742047437. The next prime is 6742047517. The reversal of 6742047480 is 847402476.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400840 + ... + 417320.

It is an arithmetic number, because the mean of its divisors is an integer number (180972360).

Almost surely, 26742047480 is an apocalyptic number.

6742047480 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 6742047480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582231040).

6742047480 is an abundant number, since it is smaller than the sum of its proper divisors (16422414600).

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

6742047480 is a wasteful number, since it uses less digits than its factorization.

6742047480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16989 (or 16985 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 6742047480 is about 82109.9718670029. The cubic root of 6742047480 is about 1889.1390944888.

The spelling of 6742047480 in words is "six billion, seven hundred forty-two million, forty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 487 840 974 1461 1948 2435 2922 3409 3896 4870 5844 6818 7305 9740 10227 11688 13636 14610 16481 17045 19480 20454 27272 29220 32962 34090 40908 49443 51135 58440 65924 68180 81816 82405 98886 102270 115367 131848 136360 164810 197772 204540 230734 247215 329620 346101 395544 409080 461468 494430 576835 659240 692202 922936 988860 1153670 1384404 1730505 1977720 2307340 2768808 3461010 4614680 6922020 8026247 13844040 16052494 24078741 32104988 40131235 48157482 56183729 64209976 80262470 96314964 112367458 120393705 160524940 168551187 192629928 224734916 240787410 280918645 321049880 337102374 449469832 481574820 561837290 674204748 842755935 963149640 1123674580 1348409496 1685511870 2247349160 3371023740 6742047480