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148950337536 = 2113571113223
BaseRepresentation
bin1000101010111000100…
…0011100100000000000
3112020110121100010200000
42022232020130200000
54420022241300121
6152232110400000
713522061656560
oct2125610344000
9466417303600
10148950337536
1158195645210
1224a4b200000
1311079c74700
1472d01d6da0
153d1b88d526
hex22ae21c800

148950337536 has 1728 divisors, whose sum is σ = 628476226560. Its totient is φ = 34159656960.

The previous prime is 148950337519. The next prime is 148950337553. The reversal of 148950337536 is 635733059841.

148950337536 is a `hidden beast` number, since 1 + 4 + 89 + 503 + 3 + 7 + 53 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (148950337519) and next prime (148950337553).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6476101621 + ... + 6476101643.

It is an arithmetic number, because the mean of its divisors is an integer number (363701520).

Almost surely, 2148950337536 is an apocalyptic number.

148950337536 is a gapful number since it is divisible by the number (16) 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 148950337536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314238113280).

148950337536 is an abundant number, since it is smaller than the sum of its proper divisors (479525889024).

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

148950337536 is a wasteful number, since it uses less digits than its factorization.

148950337536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

It can be divided in two parts, 1489 and 50337536, that added together give a square (50339025 = 70952).

The spelling of 148950337536 in words is "one hundred forty-eight billion, nine hundred fifty million, three hundred thirty-seven thousand, five hundred thirty-six".