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48896644669884 = 223211249692259031
BaseRepresentation
bin10110001111000101000110…
…01000101110000110111100
320102010110210020110001210100
423013202203020232012330
522402110312013414014
6251554450343241100
713204444303024044
oct1307424310560674
9212113706401710
1048896644669884
1114641a50201a00
1255985b7449190
132138c1a76218b
14c10878680724
1559bda982c009
hex2c78a322e1bc

48896644669884 has 108 divisors (see below), whose sum is σ = 135885089551120. Its totient is φ = 14814176572800.

The previous prime is 48896644669729. The next prime is 48896644669889.

48896644669884 is a `hidden beast` number, since 4 + 8 + 8 + 9 + 6 + 64 + 466 + 9 + 8 + 84 = 666.

48896644669884 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 48896644669794 and 48896644669803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48896644669889) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20515449 + ... + 22774479.

Almost surely, 248896644669884 is an apocalyptic number.

48896644669884 is a gapful number since it is divisible by the number (44) 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 48896644669884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67942544775560).

48896644669884 is an abundant number, since it is smaller than the sum of its proper divisors (86988444881236).

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

48896644669884 is a wasteful number, since it uses less digits than its factorization.

48896644669884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264032 (or 2264016 counting only the distinct ones).

The product of its digits is 110075314176, while the sum is 90.

The spelling of 48896644669884 in words is "forty-eight trillion, eight hundred ninety-six billion, six hundred forty-four million, six hundred sixty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 4969 9938 14907 19876 29814 44721 54659 59628 89442 109318 163977 178884 218636 327954 491931 601249 655908 983862 1202498 1803747 1967724 2259031 2404996 3607494 4518062 5411241 6777093 7214988 9036124 10822482 13554186 20331279 21644964 24849341 27108372 40662558 49698682 74548023 81325116 99397364 149096046 223644069 273342751 298192092 447288138 546685502 820028253 894576276 1093371004 1640056506 2460084759 3280113012 4920169518 9840339036 11225125039 22450250078 33675375117 44900500156 67350750234 101026125351 123476375429 134701500468 202052250702 246952750858 370429126287 404104501404 493905501716 740858252574 1111287378861 1358240129719 1481716505148 2222574757722 2716480259438 4074720389157 4445149515444 5432960518876 8149440778314 12224161167471 16298881556628 24448322334942 48896644669884