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4907054507094 = 2333131357716231
BaseRepresentation
bin100011101101000001100…
…1111011010010001010110
3122101002222001202212122000
41013122003033122101112
51120344121423211334
614234134132020130
71014344246051535
oct107320317322126
918332861685560
104907054507094
111622085385013
1267302a761646
1329796bc6349c
1412d7075d031c
158799c9bb299
hex476833da456

4907054507094 has 128 divisors (see below), whose sum is σ = 11312556072960. Its totient is φ = 1575031910400.

The previous prime is 4907054507077. The next prime is 4907054507153.

4907054507094 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 0 + 545 + 0 + 7 + 0 + 94 = 666.

4907054507094 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 4907054507094.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302317959 + ... + 302334189.

It is an arithmetic number, because the mean of its divisors is an integer number (88379344320).

Almost surely, 24907054507094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4907054507094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656278036480).

4907054507094 is an abundant number, since it is smaller than the sum of its proper divisors (6405501565866).

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

4907054507094 is a wasteful number, since it uses less digits than its factorization.

4907054507094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17163 (or 17157 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 4907054507094 in words is "four trillion, nine hundred seven billion, fifty-four million, five hundred seven thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 313 558 577 626 837 939 1154 1674 1731 1878 2817 3462 5193 5634 8451 9703 10386 15579 16231 16902 17887 19406 29109 31158 32462 35774 48693 53661 58218 87327 97386 107322 146079 160983 174654 180601 261981 292158 321966 361202 438237 482949 503161 523962 541803 876474 965898 1006322 1083606 1509483 1625409 3018966 3250818 4528449 4876227 5080303 5598631 9056898 9365287 9752454 10160606 11197262 13585347 15240909 16795893 18730574 27170694 28095861 30481818 33591786 45722727 50387679 56191722 84287583 91445454 100775358 137168181 151163037 157489393 168575166 252862749 274336362 290323897 302326074 314978786 472468179 505725498 580647794 870971691 944936358 1417404537 1741943382 2612915073 2834809074 2931334831 4252213611 5225830146 5862669662 7838745219 8504427222 8794004493 15677490438 17588008986 26382013479 52764026958 79146040437 90871379761 158292080874 181742759522 272614139283 545228278566 817842417849 1635684835698 2453527253547 4907054507094