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247006404440 = 23524149195209
BaseRepresentation
bin1110011000001010111…
…0101001111101011000
3212121120022010110000122
43212002232221331120
513021332114420230
6305250112252412
723563022536625
oct3460256517530
9777508113018
10247006404440
1195833748634
123ba55b41108
131a3a5b0a783
14bd52dd534c
15665a0dcbe5
hex3982ba9f58

247006404440 has 64 divisors (see below), whose sum is σ = 558291096000. Its totient is φ = 98353704960.

The previous prime is 247006404433. The next prime is 247006404443. The reversal of 247006404440 is 44404600742.

247006404440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2470064044402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247006404440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247006404443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47416556 + ... + 47421764.

It is an arithmetic number, because the mean of its divisors is an integer number (8723298375).

Almost surely, 2247006404440 is an apocalyptic number.

247006404440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247006404440 is an abundant number, since it is smaller than the sum of its proper divisors (311284691560).

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

247006404440 is a wasteful number, since it uses less digits than its factorization.

247006404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10380 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 35.

The spelling of 247006404440 in words is "two hundred forty-seven billion, six million, four hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1205 1928 2410 4820 4919 5209 9640 9838 10418 19676 20836 24595 26045 39352 41672 49190 52090 98380 104180 196760 208360 1185479 1255369 2370958 2510738 4741916 5021476 5927395 6276845 9483832 10042952 11854790 12553690 23709580 25107380 25623071 47419160 50214760 51246142 102492284 128115355 204984568 256230710 512461420 1024922840 6175160111 12350320222 24700640444 30875800555 49401280888 61751601110 123503202220 247006404440