Search a number
-
+
150658928640 = 21233511173147
BaseRepresentation
bin1000110001001111111…
…0001101000000000000
3112101212200100120001000
42030103332031000000
54432022141204030
6153113423412000
713612316523003
oct2142376150000
9471780316030
10150658928640
1158992045a80
1225247454000
131128cc3b46c
1474130b753a
153dbb88c860
hex2313f8d000

150658928640 has 1664 divisors, whose sum is σ = 652218531840. Its totient is φ = 32558284800.

The previous prime is 150658928621. The next prime is 150658928647. The reversal of 150658928640 is 46829856051.

150658928640 is a `hidden beast` number, since 1 + 50 + 6 + 589 + 2 + 8 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×1506589286402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150658928647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3205509097 + ... + 3205509143.

Almost surely, 2150658928640 is an apocalyptic number.

150658928640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150658928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326109265920).

150658928640 is an abundant number, since it is smaller than the sum of its proper divisors (501559603200).

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

150658928640 is a wasteful number, since it uses less digits than its factorization.

150658928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 150658928640 in words is "one hundred fifty billion, six hundred fifty-eight million, nine hundred twenty-eight thousand, six hundred forty".