Search a number
-
+
46572157011296 = 257229701630747
BaseRepresentation
bin10101001011011011011001…
…11000000000010101100000
320002220020212200211020120002
422211231230320000111200
522101014234143330141
6243014541545435132
712544504315646600
oct1245555470002540
9202806780736502
1046572157011296
1113926160554554
125281bb519baa8
131cca97404c2c7
14b70166790c00
1555b6ae472e9b
hex2a5b6ce00560

46572157011296 has 36 divisors (see below), whose sum is σ = 106658556016068. Its totient is φ = 19959495861312.

The previous prime is 46572157011283. The next prime is 46572157011299. The reversal of 46572157011296 is 69211075127564.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46572157011299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14850813806 + ... + 14850816941.

It is an arithmetic number, because the mean of its divisors is an integer number (2962737667113).

Almost surely, 246572157011296 is an apocalyptic number.

It is an amenable number.

46572157011296 is an abundant number, since it is smaller than the sum of its proper divisors (60086399004772).

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

46572157011296 is a wasteful number, since it uses less digits than its factorization.

46572157011296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29701630771 (or 29701630756 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 56.

The spelling of 46572157011296 in words is "forty-six trillion, five hundred seventy-two billion, one hundred fifty-seven million, eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 29701630747 59403261494 118806522988 207911415229 237613045976 415822830458 475226091952 831645660916 950452183904 1455379906603 1663291321832 2910759813206 3326582643664 5821519626412 6653165287328 11643039252824 23286078505648 46572157011296