Search a number
-
+
172605242205136 = 24134153433946051
BaseRepresentation
bin100111001111101111001010…
…001001011110001111010000
3211122010220022002202211002101
4213033233022021132033100
5140110431014001031021
61411033430440130144
751233213544154306
oct4717571211361720
9748126262684071
10172605242205136
114aaa7521462a14
1217438076466954
1375407b2113830
14308a1d16ba276
1514e4cd245ba91
hex9cfbca25e3d0

172605242205136 has 80 divisors (see below), whose sum is σ = 360325043068480. Its totient is φ = 79624691020800.

The previous prime is 172605242205133. The next prime is 172605242205163. The reversal of 172605242205136 is 631502242506271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172605242205133) 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, 3748109311 + ... + 3748155361.

It is an arithmetic number, because the mean of its divisors is an integer number (4504063038356).

Almost surely, 2172605242205136 is an apocalyptic number.

172605242205136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

172605242205136 is an abundant number, since it is smaller than the sum of its proper divisors (187719800863344).

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

172605242205136 is a wasteful number, since it uses less digits than its factorization.

172605242205136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54564 (or 54558 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 172605242205136 in words is "one hundred seventy-two trillion, six hundred five billion, two hundred forty-two million, two hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 4153 4339 8306 8678 16612 17356 33224 34712 46051 53989 56407 66448 69424 92102 107978 112814 184204 215956 225628 368408 431912 451256 598663 736816 863824 902512 1197326 2394652 4789304 9578608 18019867 36039734 72079468 144158936 191249803 199815289 234258271 288317872 382499606 399630578 468516542 764999212 799261156 937033084 1529998424 1598522312 1874066168 2486247439 2597598757 3059996848 3197044624 3748132336 4972494878 5195197514 9944989756 10390395028 19889979512 20780790056 39779959024 41561580112 829832895217 1659665790434 3319331580868 6638663161736 10787827637821 13277326323472 21575655275642 43151310551284 86302621102568 172605242205136