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48212126976 = 2831341117779
BaseRepresentation
bin101100111001101010…
…101010110100000000
311121102222121210220110
4230321222222310000
51242214301030401
634052013111320
73324512213646
oct547152526400
9147388553813
1048212126976
11194a0541642
129416188540
1347145376b0
1424950d3196
1513c29349d6
hexb39aaad00

48212126976 has 144 divisors (see below), whose sum is σ = 141556484160. Its totient is φ = 14472560640.

The previous prime is 48212126971. The next prime is 48212126987. The reversal of 48212126976 is 67962121284.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48212126971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350455 + ... + 468233.

It is an arithmetic number, because the mean of its divisors is an integer number (983031140).

Almost surely, 248212126976 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 48212126976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70778242080).

48212126976 is an abundant number, since it is smaller than the sum of its proper divisors (93344357184).

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

48212126976 is a wasteful number, since it uses less digits than its factorization.

48212126976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117852 (or 117838 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 48212126976 in words is "forty-eight billion, two hundred twelve million, one hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 256 312 328 384 416 492 533 624 656 768 832 984 1066 1248 1312 1599 1664 1968 2132 2496 2624 3198 3328 3936 4264 4992 5248 6396 7872 8528 9984 10496 12792 15744 17056 25584 31488 34112 51168 68224 102336 117779 136448 204672 235558 353337 409344 471116 706674 942232 1413348 1531127 1884464 2826696 3062254 3768928 4593381 4828939 5653392 6124508 7537856 9186762 9657878 11306784 12249016 14486817 15075712 18373524 19315756 22613568 24498032 28973634 30151424 36747048 38631512 45227136 48996064 57947268 62776207 73494096 77263024 90454272 97992128 115894536 125552414 146988192 154526048 188328621 195984256 231789072 251104828 293976384 309052096 376657242 391968512 463578144 502209656 587952768 618104192 753314484 927156288 1004419312 1175905536 1236208384 1506628968 1854312576 2008838624 3013257936 3708625152 4017677248 6026515872 8035354496 12053031744 16070708992 24106063488 48212126976