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4748921809632 = 25327111320178167
BaseRepresentation
bin100010100011011000111…
…0011000010101011100000
3121210222210112012112011100
41011012301303002223200
51110301242440402012
614033342523314400
71000045465233210
oct105066163025340
917728715175140
104748921809632
1115710086149a0
1264845837ba00
13285a8a81c710
14125bc5ab2240
15837e4e2d8dc
hex451b1cc2ae0

4748921809632 has 576 divisors, whose sum is σ = 18143457905664. Its totient is φ = 1137898782720.

The previous prime is 4748921809613. The next prime is 4748921809637. The reversal of 4748921809632 is 2369081298474.

4748921809632 is a `hidden beast` number, since 47 + 489 + 2 + 1 + 80 + 9 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4748921809632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4748921809637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 581472813 + ... + 581480979.

It is an arithmetic number, because the mean of its divisors is an integer number (31499058864).

Almost surely, 24748921809632 is an apocalyptic number.

4748921809632 is a gapful number since it is divisible by the number (42) 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 4748921809632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9071728952832).

4748921809632 is an abundant number, since it is smaller than the sum of its proper divisors (13394536096032).

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

4748921809632 is a wasteful number, since it uses less digits than its factorization.

4748921809632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10231 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 4748921809632 in words is "four trillion, seven hundred forty-eight billion, nine hundred twenty-one million, eight hundred nine thousand, six hundred thirty-two".