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148746948480 = 2735513294359
BaseRepresentation
bin1000101010001000000…
…0100100111110000000
3112012221102121220100000
42022202000210332000
54414113204322410
6152200003200000
713514042125554
oct2124200447600
9465842556300
10148746948480
11580a0857a89
12249b3076000
1311046aa1960
1472b11b1864
153d08ab4dc0
hex22a2024f80

148746948480 has 1536 divisors, whose sum is σ = 617512896000. Its totient is φ = 33944666112.

The previous prime is 148746948443. The next prime is 148746948499. The reversal of 148746948480 is 84849647841.

148746948480 is a `hidden beast` number, since 1 + 4 + 8 + 74 + 6 + 9 + 484 + 80 = 666.

148746948480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1487469484802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2521134691 + ... + 2521134749.

It is an arithmetic number, because the mean of its divisors is an integer number (402026625).

Almost surely, 2148746948480 is an apocalyptic number.

148746948480 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 148746948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308756448000).

148746948480 is an abundant number, since it is smaller than the sum of its proper divisors (468765947520).

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

148746948480 is a wasteful number, since it uses less digits than its factorization.

148746948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 148746948480 in words is "one hundred forty-eight billion, seven hundred forty-six million, nine hundred forty-eight thousand, four hundred eighty".