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49942113624 = 23341319312029
BaseRepresentation
bin101110100000110010…
…000010110101011000
311202220112220020110000
4232200302002311120
51304240140113444
634535412453000
73415416650544
oct564062026530
9152815806400
1049942113624
111a1a9026177
12981961a160
13492ba82b30
1425bab82a24
15147475d469
hexba0c82d58

49942113624 has 160 divisors (see below), whose sum is σ = 158573646000. Its totient is φ = 14557978368.

The previous prime is 49942113619. The next prime is 49942113631. The reversal of 49942113624 is 42631124994.

49942113624 is a `hidden beast` number, since 4 + 9 + 9 + 4 + 2 + 1 + 13 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49942113624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4042 + ... + 316070.

Almost surely, 249942113624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49942113624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79286823000).

49942113624 is an abundant number, since it is smaller than the sum of its proper divisors (108631532376).

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

49942113624 is a wasteful number, since it uses less digits than its factorization.

49942113624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312079 (or 312066 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 49942113624 in words is "forty-nine billion, nine hundred forty-two million, one hundred thirteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 81 104 108 114 117 152 156 162 171 216 228 234 247 312 324 342 351 456 468 494 513 648 684 702 741 936 988 1026 1053 1368 1404 1482 1539 1976 2052 2106 2223 2808 2964 3078 4104 4212 4446 5928 6156 6669 8424 8892 12312 13338 17784 20007 26676 40014 53352 80028 160056 312029 624058 936087 1248116 1872174 2496232 2808261 3744348 4056377 5616522 5928551 7488696 8112754 8424783 11233044 11857102 12169131 16225508 16849566 17785653 22466088 23714204 24338262 25274349 32451016 33699132 35571306 36507393 47428408 48676524 50548698 53356959 67398264 71142612 73014786 77071163 97353048 101097396 106713918 109522179 142285224 146029572 154142326 160070877 202194792 213427836 219044358 231213489 292059144 308284652 320141754 328566537 426855672 438088716 462426978 480212631 616569304 640283508 657133074 693640467 876177432 924853956 960425262 1280567016 1314266148 1387280934 1849707912 1920850524 2080921401 2628532296 2774561868 3841701048 4161842802 5549123736 6242764203 8323685604 12485528406 16647371208 24971056812 49942113624