Search a number
-
+
153016537344 = 28311232772843
BaseRepresentation
bin1000111010000001111…
…1110001000100000000
3112121221222121111011220
42032200133301010000
510001334213143334
6154143403235040
714024615051526
oct2164037610400
9477858544156
10153016537344
1159991934320
12257a4b18a80
1311577503cb8
147598260316
153ea883d449
hex23a07f1100

153016537344 has 288 divisors, whose sum is σ = 465422920704. Its totient is φ = 44176957440.

The previous prime is 153016537339. The next prime is 153016537357. The reversal of 153016537344 is 443735610351.

It is a junction number, because it is equal to n+sod(n) for n = 153016537296 and 153016537305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53820787 + ... + 53823629.

It is an arithmetic number, because the mean of its divisors is an integer number (1616051808).

Almost surely, 2153016537344 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 153016537344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232711460352).

153016537344 is an abundant number, since it is smaller than the sum of its proper divisors (312406383360).

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

153016537344 is a wasteful number, since it uses less digits than its factorization.

153016537344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 153016537344 in words is "one hundred fifty-three billion, sixteen million, five hundred thirty-seven thousand, three hundred forty-four".