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49957910244 = 22351112736791
BaseRepresentation
bin101110100001101110…
…010011011011100100
311202221122121210100000
4232201232103123210
51304303211111434
634541135221300
73416001142044
oct564156233344
9152848553300
1049957910244
111a206a35430
129822977830
134932123c48
1425bccd5724
151475d2db99
hexba1b936e4

49957910244 has 144 divisors (see below), whose sum is σ = 143993880576. Its totient is φ = 15019149600.

The previous prime is 49957910231. The next prime is 49957910257. The reversal of 49957910244 is 44201975994.

49957910244 is a `hidden beast` number, since 49 + 9 + 579 + 1 + 0 + 24 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (49957910231) and next prime (49957910257).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1339489 + ... + 1376279.

It is an arithmetic number, because the mean of its divisors is an integer number (999957504).

Almost surely, 249957910244 is an apocalyptic number.

49957910244 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 49957910244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71996940288).

49957910244 is an abundant number, since it is smaller than the sum of its proper divisors (94035970332).

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

49957910244 is a wasteful number, since it uses less digits than its factorization.

49957910244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36948 (or 36934 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 49957910244 in words is "forty-nine billion, nine hundred fifty-seven million, nine hundred ten thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 127 132 162 198 243 254 297 324 381 396 486 508 594 762 891 972 1143 1188 1397 1524 1782 2286 2673 2794 3429 3564 4191 4572 5346 5588 6858 8382 10287 10692 12573 13716 16764 20574 25146 30861 36791 37719 41148 50292 61722 73582 75438 110373 113157 123444 147164 150876 220746 226314 331119 339471 404701 441492 452628 662238 678942 809402 993357 1214103 1324476 1357884 1618804 1986714 2428206 2980071 3642309 3973428 4672457 4856412 5960142 7284618 8940213 9344914 10926927 11920284 14017371 14569236 17880426 18689828 21853854 28034742 32780781 35760852 42052113 43707708 51397027 56069484 65561562 84104226 98342343 102794054 126156339 131123124 154191081 168208452 196684686 205588108 252312678 308382162 378469017 393369372 462573243 504625356 616764324 756938034 925146486 1135407051 1387719729 1513876068 1850292972 2270814102 2775439458 4163159187 4541628204 5550878916 8326318374 12489477561 16652636748 24978955122 49957910244