Search a number
-
+
136163115744 = 25319157475483
BaseRepresentation
bin111111011001111110…
…1000100001011100000
3111000110102220222000220
41332303331010023200
54212330224200434
6142315200043040
712560151246555
oct1766375041340
9430412828026
10136163115744
1152823590217
1222480903480
13cabc9b2296
146839c18a2c
15381de6bd49
hex1fb3f442e0

136163115744 has 96 divisors (see below), whose sum is σ = 378637418880. Its totient is φ = 42724910592.

The previous prime is 136163115727. The next prime is 136163115749. The reversal of 136163115744 is 447511361631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1361631157442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136163115696 and 136163115705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136163115749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48627 + ... + 524109.

It is an arithmetic number, because the mean of its divisors is an integer number (3944139780).

Almost surely, 2136163115744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136163115744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189318709440).

136163115744 is an abundant number, since it is smaller than the sum of its proper divisors (242474303136).

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

136163115744 is a wasteful number, since it uses less digits than its factorization.

136163115744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475672 (or 475664 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 136163115744 in words is "one hundred thirty-six billion, one hundred sixty-three million, one hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 157 228 304 314 456 471 608 628 912 942 1256 1824 1884 2512 2983 3768 5024 5966 7536 8949 11932 15072 17898 23864 35796 47728 71592 95456 143184 286368 475483 950966 1426449 1901932 2852898 3803864 5705796 7607728 9034177 11411592 15215456 18068354 22823184 27102531 36136708 45646368 54205062 72273416 74650831 108410124 144546832 149301662 216820248 223952493 289093664 298603324 433640496 447904986 597206648 867280992 895809972 1194413296 1418365789 1791619944 2388826592 2836731578 3583239888 4255097367 5673463156 7166479776 8510194734 11346926312 17020389468 22693852624 34040778936 45387705248 68081557872 136163115744