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49688672256 = 211323772859
BaseRepresentation
bin101110010001101011…
…001111100000000000
311202020220000002020200
4232101223033200000
51303230300003011
634454320405200
73406221513456
oct562153174000
9152226002220
1049688672256
111a088a619a3
129768776800
1348bb406c22
14259524c9d6
15145c399856
hexb91acf800

49688672256 has 144 divisors (see below), whose sum is σ = 147390679800. Its totient is φ = 16115023872.

The previous prime is 49688672237. The next prime is 49688672269. The reversal of 49688672256 is 65227688694.

49688672256 is a `hidden beast` number, since 496 + 88 + 67 + 2 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 49688672193 and 49688672202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645555 + ... + 718413.

Almost surely, 249688672256 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 49688672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73695339900).

49688672256 is an abundant number, since it is smaller than the sum of its proper divisors (97702007544).

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

49688672256 is a wasteful number, since it uses less digits than its factorization.

49688672256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72924 (or 72901 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 49688672256 in words is "forty-nine billion, six hundred eighty-eight million, six hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2048 2304 2368 2664 3072 3552 4608 4736 5328 6144 7104 9216 9472 10656 14208 18432 18944 21312 28416 37888 42624 56832 72859 75776 85248 113664 145718 170496 218577 227328 291436 340992 437154 582872 655731 681984 874308 1165744 1311462 1748616 2331488 2622924 2695783 3497232 4662976 5245848 5391566 6994464 8087349 9325952 10491696 10783132 13988928 16174698 18651904 20983392 21566264 24262047 27977856 32349396 37303808 41966784 43132528 48524094 55955712 64698792 74607616 83933568 86265056 97048188 111911424 129397584 149215232 167867136 172530112 194096376 223822848 258795168 335734272 345060224 388192752 447645696 517590336 671468544 690120448 776385504 1035180672 1342937088 1380240896 1552771008 2070361344 2760481792 3105542016 4140722688 5520963584 6211084032 8281445376 12422168064 16562890752 24844336128 49688672256