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49813353240 = 23357229258959
BaseRepresentation
bin101110011001000110…
…110111001100011000
311202120120121112101220
4232121012313030120
51304004204300430
634514533012040
73412264342050
oct563106671430
9152516545356
1049813353240
111a142380632
1297a2484020
13490b1ac661
1425a7a26560
1514682c7110
hexb991b7318

49813353240 has 128 divisors (see below), whose sum is σ = 171535104000. Its totient is φ = 11336145408.

The previous prime is 49813353229. The next prime is 49813353251. The reversal of 49813353240 is 4235331894.

49813353240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49813353229) and next prime (49813353251).

It is a super-2 number, since 2×498133532402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 49813353192 and 49813353201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62881 + ... + 321839.

It is an arithmetic number, because the mean of its divisors is an integer number (1340118000).

Almost surely, 249813353240 is an apocalyptic number.

49813353240 is a gapful number since it is divisible by the number (40) 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 49813353240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85767552000).

49813353240 is an abundant number, since it is smaller than the sum of its proper divisors (121721750760).

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

49813353240 is a wasteful number, since it uses less digits than its factorization.

49813353240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259209 (or 259205 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 49813353240 in words is "forty-nine billion, eight hundred thirteen million, three hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 229 280 420 458 687 840 916 1145 1374 1603 1832 2290 2748 3206 3435 4580 4809 5496 6412 6870 8015 9160 9618 12824 13740 16030 19236 24045 27480 32060 38472 48090 64120 96180 192360 258959 517918 776877 1035836 1294795 1553754 1812713 2071672 2589590 3107508 3625426 3884385 5179180 5438139 6215016 7250852 7768770 9063565 10358360 10876278 14501704 15537540 18127130 21752556 27190695 31075080 36254260 43505112 54381390 59301611 72508520 108762780 118603222 177904833 217525560 237206444 296508055 355809666 415111277 474412888 593016110 711619332 830222554 889524165 1186032220 1245333831 1423238664 1660445108 1779048330 2075556385 2372064440 2490667662 3320890216 3558096660 4151112770 4981335324 6226669155 7116193320 8302225540 9962670648 12453338310 16604451080 24906676620 49813353240