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5077426410 = 2335723116803
BaseRepresentation
bin1001011101010001…
…10110000011101010
3111002212001222122000
410232220312003222
540344310121120
62155454511430
7236552261310
oct45650660352
914085058560
105077426410
112176090681
12b98505576
1362bbca734
143624980b0
151eab4c990
hex12ea360ea

5077426410 has 128 divisors (see below), whose sum is σ = 16146984960. Its totient is φ = 1110086208.

The previous prime is 5077426399. The next prime is 5077426421. The reversal of 5077426410 is 146247705.

5077426410 is a `hidden beast` number, since 5 + 0 + 7 + 7 + 4 + 2 + 641 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5077426399) and next prime (5077426421).

It is a Curzon 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, 14932 + ... + 101871.

It is an arithmetic number, because the mean of its divisors is an integer number (126148320).

Almost surely, 25077426410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5077426410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073492480).

5077426410 is an abundant number, since it is smaller than the sum of its proper divisors (11069558550).

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

5077426410 is a wasteful number, since it uses less digits than its factorization.

5077426410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116849 (or 116843 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5077426410 is about 71256.0622684133. The cubic root of 5077426410 is about 1718.7572609985.

The spelling of 5077426410 in words is "five billion, seventy-seven million, four hundred twenty-six thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 90 105 115 126 135 138 161 189 207 210 230 270 315 322 345 378 414 483 621 630 690 805 945 966 1035 1242 1449 1610 1890 2070 2415 2898 3105 4347 4830 6210 7245 8694 14490 21735 43470 116803 233606 350409 584015 700818 817621 1051227 1168030 1635242 1752045 2102454 2452863 2686469 3153681 3504090 4088105 4905726 5256135 5372938 6307362 7358589 8059407 8176210 10512270 12264315 13432345 14717178 15768405 16118814 18805283 22075767 24178221 24528630 26864690 31536810 36792945 37610566 40297035 44151534 48356442 56415849 72534663 73585890 80594070 94026415 110378835 112831698 120891105 145069326 169247547 188052830 220757670 241782210 282079245 338495094 362673315 507742641 564158490 725346630 846237735 1015485282 1692475470 2538713205 5077426410