Search a number
-
+
4980099003264 = 2734721117193189
BaseRepresentation
bin100100001111000010100…
…0010000011001110000000
3122122002111122212202010000
41020132011002003032000
51123043220321101024
614331454221040000
71022541332036400
oct110360502031600
918562448782100
104980099003264
111650059069120
126852150b6000
132a1810071558
141330766b2800
158982550ecc9
hex48785083380

4980099003264 has 3840 divisors, whose sum is σ = 21881477376000. Its totient is φ = 1103619686400.

The previous prime is 4980099003263. The next prime is 4980099003307. The reversal of 4980099003264 is 4623009900894.

4980099003264 is a `hidden beast` number, since 498 + 0 + 0 + 9 + 90 + 0 + 3 + 2 + 64 = 666.

It is a super-2 number, since 2×49800990032642 (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4980099003264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980099003263) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 55956168532 + ... + 55956168620.

It is an arithmetic number, because the mean of its divisors is an integer number (5698301400).

Almost surely, 24980099003264 is an apocalyptic number.

4980099003264 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 4980099003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10940738688000).

4980099003264 is an abundant number, since it is smaller than the sum of its proper divisors (16901378372736).

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

4980099003264 is a wasteful number, since it uses less digits than its factorization.

4980099003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 4980099003264 in words is "four trillion, nine hundred eighty billion, ninety-nine million, three thousand, two hundred sixty-four".