Search a number
-
+
148002657660 = 2232511213522719
BaseRepresentation
bin1000100111010110100…
…1010101010101111100
3112011000120010000021100
42021311221111111330
54411102140021120
6151554054333100
713456433555514
oct2116551252574
9464016100240
10148002657660
1157849707300
122482595a190
1310c588259a0
1472403c8844
153cb3594490
hex2275a5557c

148002657660 has 216 divisors, whose sum is σ = 531424333440. Its totient is φ = 33119412480.

The previous prime is 148002657643. The next prime is 148002657661. The reversal of 148002657660 is 66756200841.

148002657660 is a `hidden beast` number, since 14 + 8 + 0 + 0 + 2 + 6 + 576 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148002657661) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21781 + ... + 544499.

It is an arithmetic number, because the mean of its divisors is an integer number (2460297840).

Almost surely, 2148002657660 is an apocalyptic number.

148002657660 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 148002657660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265712166720).

148002657660 is an abundant number, since it is smaller than the sum of its proper divisors (383421675780).

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

148002657660 is a wasteful number, since it uses less digits than its factorization.

148002657660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522769 (or 522753 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 148002657660 in words is "one hundred forty-eight billion, two million, six hundred fifty-seven thousand, six hundred sixty".