Search a number
-
+
148026177400 = 23521743537111
BaseRepresentation
bin1000100111011100001…
…1000011011101111000
3112011002012100221021211
42021313003003131320
54411124200134100
6152000254412504
713460140514263
oct2116703033570
9464065327254
10148026177400
1157860a11002
1224831801134
1310c6066c1aa
14724358bcda
153cb568d1ba
hex22770c3778

148026177400 has 48 divisors (see below), whose sum is σ = 364405627440. Its totient is φ = 55727500800.

The previous prime is 148026177373. The next prime is 148026177401. The reversal of 148026177400 is 4771620841.

It is a happy number.

148026177400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148026177401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21765156 + ... + 21771955.

It is an arithmetic number, because the mean of its divisors is an integer number (7591783905).

Almost surely, 2148026177400 is an apocalyptic number.

148026177400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148026177400 is an abundant number, since it is smaller than the sum of its proper divisors (216379450040).

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

148026177400 is a wasteful number, since it uses less digits than its factorization.

148026177400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43537144 (or 43537135 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 148026177400 in words is "one hundred forty-eight billion, twenty-six million, one hundred seventy-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 43537111 87074222 174148444 217685555 348296888 435371110 740130887 870742220 1088427775 1480261774 1741484440 2176855550 2960523548 3700654435 4353711100 5921047096 7401308870 8707422200 14802617740 18503272175 29605235480 37006544350 74013088700 148026177400