Search a number
-
+
148311925020 = 2235572622793
BaseRepresentation
bin1000101000100000010…
…1000110000100011100
3112011211010001102100000
42022020011012010130
54412220323100040
6152044503134300
713500210363600
oct2121005060434
9464733042300
10148311925020
1157998240466
12248b1444390
1310ca7919a1c
14726d4d1500
153cd07d4130
hex228814611c

148311925020 has 216 divisors, whose sum is σ = 542712656304. Its totient is φ = 33899814144.

The previous prime is 148311924997. The next prime is 148311925039. The reversal of 148311925020 is 20529113841.

148311925020 is a `hidden beast` number, since 148 + 3 + 1 + 1 + 9 + 2 + 502 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73257 + ... + 549536.

It is an arithmetic number, because the mean of its divisors is an integer number (2512558594).

Almost surely, 2148311925020 is an apocalyptic number.

148311925020 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 148311925020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271356328152).

148311925020 is an abundant number, since it is smaller than the sum of its proper divisors (394400731284).

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

148311925020 is a wasteful number, since it uses less digits than its factorization.

148311925020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622831 (or 622810 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 148311925020 in words is "one hundred forty-eight billion, three hundred eleven million, nine hundred twenty-five thousand, twenty".