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49648946112 = 263491110513
BaseRepresentation
bin101110001111010011…
…101100101111000000
311202011010020210020000
4232033103230233000
51303140112233422
634450341120000
73405230036013
oct561723545700
9152133223200
1049648946112
111a068599077
1297573b9000
1348b3107c2c
14258dc6b37a
151458b4dcac
hexb8f4ecbc0

49648946112 has 140 divisors (see below), whose sum is σ = 147350597856. Its totient is φ = 16529909760.

The previous prime is 49648946071. The next prime is 49648946129. The reversal of 49648946112 is 21164984694.

49648946112 is a `hidden beast` number, since 4 + 9 + 6 + 489 + 46 + 112 = 666.

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

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 4717368 + ... + 4727880.

Almost surely, 249648946112 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 49648946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73675298928).

49648946112 is an abundant number, since it is smaller than the sum of its proper divisors (97701651744).

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

49648946112 is a wasteful number, since it uses less digits than its factorization.

49648946112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11448 (or 11429 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 49648946112 in words is "forty-nine billion, six hundred forty-eight million, nine hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 911 1296 1728 1822 2592 2733 3644 5184 5466 7288 8199 10513 10932 14576 16398 21026 21864 24597 29152 31539 32796 42052 43728 49194 58304 63078 65592 73791 84104 87456 94617 98388 126156 131184 147582 168208 174912 189234 196776 252312 262368 283851 295164 336416 378468 393552 504624 524736 567702 590328 672832 756936 787104 851553 1009248 1135404 1180656 1513872 1574208 1703106 2018496 2270808 2361312 3027744 3406212 4541616 4722624 6055488 6812424 9083232 9577343 13624848 18166464 19154686 27249696 28732029 38309372 54499392 57464058 76618744 86196087 114928116 153237488 172392174 229856232 258588261 306474976 344784348 459712464 517176522 612949952 689568696 775764783 919424928 1034353044 1379137392 1551529566 1838849856 2068706088 2758274784 3103059132 4137412176 5516549568 6206118264 8274824352 12412236528 16549648704 24824473056 49648946112