Search a number
-
+
148372957920 = 25351167419417
BaseRepresentation
bin1000101000101110110…
…1111010101011100000
3112011222100220012201210
42022023231322223200
54412331434123140
6152054523230120
713501551222225
oct2121355725340
9464870805653
10148372957920
1157a19737380
1224909978340
1310cb7468b75
14727765b94c
153cd5d3cd80
hex228bb7aae0

148372957920 has 192 divisors, whose sum is σ = 517474573056. Its totient is φ = 35432263680.

The previous prime is 148372957913. The next prime is 148372957937. The reversal of 148372957920 is 29759273841.

It is a happy number.

148372957920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144052 + ... + 563468.

It is an arithmetic number, because the mean of its divisors is an integer number (2695180068).

Almost surely, 2148372957920 is an apocalyptic number.

148372957920 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 148372957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258737286528).

148372957920 is an abundant number, since it is smaller than the sum of its proper divisors (369101615136).

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

148372957920 is a wasteful number, since it uses less digits than its factorization.

148372957920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419513 (or 419505 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 148372957920 in words is "one hundred forty-eight billion, three hundred seventy-two million, nine hundred fifty-seven thousand, nine hundred twenty".