Search a number
-
+
156796977744 = 2433111722931127
BaseRepresentation
bin1001001000000111010…
…1000000001001010000
3112222201110011202111000
42102001311000021100
510032110011241434
6200010451222000
714220401214621
oct2220165001120
9488643152430
10156796977744
1160551896130
122647aba7900
1311a2a7b0594
14783637da48
15412a693b99
hex2481d40250

156796977744 has 960 divisors, whose sum is σ = 561335500800. Its totient is φ = 41455411200.

The previous prime is 156796977737. The next prime is 156796977797. The reversal of 156796977744 is 447779697651.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1234621809 + ... + 1234621935.

It is an arithmetic number, because the mean of its divisors is an integer number (584724480).

Almost surely, 2156796977744 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 156796977744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280667750400).

156796977744 is an abundant number, since it is smaller than the sum of its proper divisors (404538523056).

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

156796977744 is a wasteful number, since it uses less digits than its factorization.

156796977744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its digits is 560105280, while the sum is 72.

The spelling of 156796977744 in words is "one hundred fifty-six billion, seven hundred ninety-six million, nine hundred seventy-seven thousand, seven hundred forty-four".