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148190321664 = 2103471123203
BaseRepresentation
bin1000101000000011010…
…1001101110000000000
3112011111122020022220000
42022000311031300000
54411443210243124
6152024440520000
713464202644060
oct2120065156000
9464448208800
10148190321664
1157935634020
1224878780000
1310c88681088
14725b2b93a0
153cc4cb36c9
hex2280d4dc00

148190321664 has 440 divisors, whose sum is σ = 551743598208. Its totient is φ = 38489333760.

The previous prime is 148190321663. The next prime is 148190321681. The reversal of 148190321664 is 466123091841.

148190321664 is a `hidden beast` number, since 1 + 481 + 9 + 0 + 3 + 2 + 166 + 4 = 666.

148190321664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148190321663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6375087 + ... + 6398289.

Almost surely, 2148190321664 is an apocalyptic number.

148190321664 is a gapful number since it is divisible by the number (14) 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 148190321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275871799104).

148190321664 is an abundant number, since it is smaller than the sum of its proper divisors (403553276544).

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

148190321664 is a wasteful number, since it uses less digits than its factorization.

148190321664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23253 (or 23226 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 148190321664 in words is "one hundred forty-eight billion, one hundred ninety million, three hundred twenty-one thousand, six hundred sixty-four".