Search a number
-
+
136400746275 = 32527919738953
BaseRepresentation
bin111111100001000011…
…1100011011100100011
3111001002000001211211200
41333002013203130203
54213322042340100
6142354525212243
712566065133133
oct1770207433443
9431060054750
10136400746275
1152935735592
1222528401083
13cb29cb3771
14685d5d4ac3
153834c5ae00
hex1fc21e3723

136400746275 has 72 divisors (see below), whose sum is σ = 248663638080. Its totient is φ = 71459781120.

The previous prime is 136400746271. The next prime is 136400746327. The reversal of 136400746275 is 572647004631.

136400746275 is a `hidden beast` number, since 13 + 6 + 4 + 0 + 0 + 7 + 4 + 627 + 5 = 666.

It is not a de Polignac number, because 136400746275 - 22 = 136400746271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 136400746275.

It is not an unprimeable number, because it can be changed into a prime (136400746271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3482199 + ... + 3521151.

It is an arithmetic number, because the mean of its divisors is an integer number (3453661640).

Almost surely, 2136400746275 is an apocalyptic number.

136400746275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

136400746275 is a deficient number, since it is larger than the sum of its proper divisors (112262891805).

136400746275 is a wasteful number, since it uses less digits than its factorization.

136400746275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39245 (or 39237 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 136400746275 in words is "one hundred thirty-six billion, four hundred million, seven hundred forty-six thousand, two hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 79 197 225 237 395 591 711 985 1185 1773 1975 2955 3555 4925 5925 8865 14775 15563 17775 38953 44325 46689 77815 116859 140067 194765 233445 350577 389075 584295 700335 973825 1167225 1752885 2921475 3077287 3501675 7673741 8764425 9231861 15386435 23021223 27695583 38368705 46159305 69063669 76932175 115106115 138477915 191843525 230796525 345318345 575530575 606225539 692389575 1726591725 1818676617 3031127695 5456029851 9093383085 15155638475 27280149255 45466915425 136400746275