Search a number
-
+
201825238848 = 2631955324901
BaseRepresentation
bin1011101111110110111…
…0001011111101000000
3201021221112210102111020
42323331232023331000
511301314230120343
6232414531145440
720403263140032
oct2737556137500
9637845712436
10201825238848
11786590a4162
1233146a45280
131605550806c
149aa8687c52
1553b3815b83
hex2efdb8bf40

201825238848 has 56 divisors (see below), whose sum is σ = 562101004320. Its totient is φ = 63734284800.

The previous prime is 201825238837. The next prime is 201825238859. The reversal of 201825238848 is 848832528102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201825238837) and next prime (201825238859).

It is a self number, because there is not a number n which added to its sum of digits gives 201825238848.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27658803 + ... + 27666098.

Almost surely, 2201825238848 is an apocalyptic number.

It is an amenable number.

201825238848 is an abundant number, since it is smaller than the sum of its proper divisors (360275765472).

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

201825238848 is a wasteful number, since it uses less digits than its factorization.

201825238848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55324935 (or 55324925 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 201825238848 in words is "two hundred one billion, eight hundred twenty-five million, two hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 55324901 110649802 165974703 221299604 331949406 442599208 663898812 885198416 1051173119 1327797624 1770396832 2102346238 2655595248 3153519357 3540793664 4204692476 5311190496 6307038714 8409384952 10622380992 12614077428 16818769904 25228154856 33637539808 50456309712 67275079616 100912619424 201825238848