Search a number
-
+
2123673552 = 2434711131637
BaseRepresentation
bin111111010010100…
…1010111111010000
312111000001210110000
41332211022333100
513322130023202
6550421410000
7103424633040
oct17645127720
95430053400
102123673552
1199a838410
124b3269900
1327ac89390
1416208d720
15c669191c
hex7e94afd0

2123673552 has 400 divisors, whose sum is σ = 8257721472. Its totient is φ = 508861440.

The previous prime is 2123673511. The next prime is 2123673557. The reversal of 2123673552 is 2553763212.

2123673552 is a `hidden beast` number, since 2 + 1 + 2 + 36 + 73 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123673557) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1296478 + ... + 1298114.

Almost surely, 22123673552 is an apocalyptic number.

2123673552 is a gapful number since it is divisible by the number (22) 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 2123673552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128860736).

2123673552 is an abundant number, since it is smaller than the sum of its proper divisors (6134047920).

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

2123673552 is a wasteful number, since it uses less digits than its factorization.

2123673552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1673 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 2123673552 is about 46083.3326919831. The cubic root of 2123673552 is about 1285.3732360170.

The spelling of 2123673552 in words is "two billion, one hundred twenty-three million, six hundred seventy-three thousand, five hundred fifty-two".