Search a number
-
+
138174316600 = 23524332574933
BaseRepresentation
bin1000000010101111010…
…1001100000000111000
3111012122121100112221111
42000223311030000320
54230440111112400
6143250523050104
712661042212115
oct2005365140070
9435577315844
10138174316600
1153665888191
1222942370934
131005057b968
14698ad8b90c
1538da7e33ba
hex202bd4c038

138174316600 has 96 divisors (see below), whose sum is σ = 328893927120. Its totient is φ = 53956869120.

The previous prime is 138174316573. The next prime is 138174316601. The reversal of 138174316600 is 6613471831.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138174316601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28007734 + ... + 28012666.

Almost surely, 2138174316600 is an apocalyptic number.

138174316600 is a gapful number since it is divisible by the number (10) 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 138174316600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164446963560).

138174316600 is an abundant number, since it is smaller than the sum of its proper divisors (190719610520).

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

138174316600 is a wasteful number, since it uses less digits than its factorization.

138174316600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 138174316600 in words is "one hundred thirty-eight billion, one hundred seventy-four million, three hundred sixteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 3257 4300 4933 6514 8600 9866 13028 16285 19732 24665 26056 32570 39464 49330 65140 81425 98660 123325 130280 140051 162850 197320 212119 246650 280102 325700 424238 493300 560204 651400 700255 848476 986600 1060595 1120408 1400510 1696952 2121190 2801020 3501275 4242380 5302975 5602040 7002550 8484760 10605950 14005100 16066781 21211900 28010200 32133562 42423800 64267124 80333905 128534248 160667810 321335620 401669525 642671240 690871583 803339050 1381743166 1606678100 2763486332 3213356200 3454357915 5526972664 6908715830 13817431660 17271789575 27634863320 34543579150 69087158300 138174316600