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49180242804 = 223711227234473
BaseRepresentation
bin101101110011010111…
…101111001101110100
311200221110022012011020
4231303113233031310
51301210120232204
634332035141140
73360506111040
oct556327571564
9150843265136
1049180242804
1119947a68370
1296464447b0
134839c900b4
142547901020
15142c918bd9
hexb735ef374

49180242804 has 96 divisors (see below), whose sum is σ = 143700673536. Its totient is φ = 12717761280.

The previous prime is 49180242703. The next prime is 49180242931. The reversal of 49180242804 is 40824208194.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92512 + ... + 326984.

It is an arithmetic number, because the mean of its divisors is an integer number (1496882016).

Almost surely, 249180242804 is an apocalyptic number.

49180242804 is a gapful number since it is divisible by the number (44) 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 49180242804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850336768).

49180242804 is an abundant number, since it is smaller than the sum of its proper divisors (94520430732).

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

49180242804 is a wasteful number, since it uses less digits than its factorization.

49180242804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234725 (or 234723 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 49180242804 in words is "forty-nine billion, one hundred eighty million, two hundred forty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 227 231 308 454 462 681 908 924 1362 1589 2497 2724 3178 4767 4994 6356 7491 9534 9988 14982 17479 19068 29964 34958 52437 69916 104874 209748 234473 468946 703419 937892 1406838 1641311 2579203 2813676 3282622 4923933 5158406 6565244 7737609 9847866 10316812 15475218 18054421 19695732 30950436 36108842 53225371 54163263 72217684 106450742 108326526 159676113 212901484 216653052 319352226 372577597 585479081 638704452 745155194 1117732791 1170958162 1490310388 1756437243 2235465582 2341916324 3512874486 4098353567 4470931164 7025748972 8196707134 12295060701 16393414268 24590121402 49180242804