Search a number
-
+
196022648352 = 25313011569487
BaseRepresentation
bin1011011010001111011…
…1000011111000100000
3200201222011012021202010
42312203313003320200
511202423244221402
6230015045352520
720106424006416
oct2664367037040
9621864167663
10196022648352
1176150747023
1231ba7708740
131563c2ca46b
1496b7b852b6
1551741c4a6c
hex2da3dc3e20

196022648352 has 48 divisors (see below), whose sum is σ = 514955290752. Its totient is φ = 65290617600.

The previous prime is 196022648351. The next prime is 196022648473. The reversal of 196022648352 is 253846220691.

It is a happy number.

196022648352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (196022648351) 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 7 ways as a sum of consecutive naturals, for example, 659848 + ... + 909639.

It is an arithmetic number, because the mean of its divisors is an integer number (10728235224).

Almost surely, 2196022648352 is an apocalyptic number.

196022648352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

196022648352 is an abundant number, since it is smaller than the sum of its proper divisors (318932642400).

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

196022648352 is a wasteful number, since it uses less digits than its factorization.

196022648352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570801 (or 1570793 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 196022648352 in words is "one hundred ninety-six billion, twenty-two million, six hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1301 2602 3903 5204 7806 10408 15612 20816 31224 41632 62448 124896 1569487 3138974 4708461 6277948 9416922 12555896 18833844 25111792 37667688 50223584 75335376 150670752 2041902587 4083805174 6125707761 8167610348 12251415522 16335220696 24502831044 32670441392 49005662088 65340882784 98011324176 196022648352