Search a number
-
+
157050333504 = 26321728157077
BaseRepresentation
bin1001001001000011101…
…1011110100101000000
3120000101002220120020200
42102100323132211000
510033114341133004
6200051541405200
714226565544301
oct2222073364500
9500332816220
10157050333504
1160671901059
122652ba09800
1311a6b12952c
14785bc907a8
154142a3c239
hex2490ede940

157050333504 has 168 divisors, whose sum is σ = 478340809128. Its totient is φ = 49094492160.

The previous prime is 157050333443. The next prime is 157050333509. The reversal of 157050333504 is 405333050751.

157050333504 is a `hidden beast` number, since 1 + 5 + 70 + 50 + 3 + 33 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35025871104 + 122024462400 = 187152^2 + 349320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157050333509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2723014 + ... + 2780090.

It is an arithmetic number, because the mean of its divisors is an integer number (2847266721).

Almost surely, 2157050333504 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 157050333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239170404564).

157050333504 is an abundant number, since it is smaller than the sum of its proper divisors (321290475624).

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

157050333504 is a wasteful number, since it uses less digits than its factorization.

157050333504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57393 (or 57380 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The spelling of 157050333504 in words is "one hundred fifty-seven billion, fifty million, three hundred thirty-three thousand, five hundred four".