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148978342920 = 2335114171137283
BaseRepresentation
bin1000101010111111001…
…1010001110000001000
3112020112120000221211110
42022233303101300020
54420101423433140
6152234550530320
713522552010121
oct2125763216010
9466476027743
10148978342920
11581aa433060
1224a586669a0
13110829cb844
1472d3c07048
153d1e071380
hex22afcd1c08

148978342920 has 512 divisors, whose sum is σ = 511991746560. Its totient is φ = 34363392000.

The previous prime is 148978342883. The next prime is 148978342939. The reversal of 148978342920 is 29243879841.

It is a super-2 number, since 2×1489783429202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 526425099 + ... + 526425381.

It is an arithmetic number, because the mean of its divisors is an integer number (999983880).

Almost surely, 2148978342920 is an apocalyptic number.

148978342920 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 148978342920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255995873280).

148978342920 is an abundant number, since it is smaller than the sum of its proper divisors (363013403640).

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

148978342920 is a wasteful number, since it uses less digits than its factorization.

148978342920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 148978342920 in words is "one hundred forty-eight billion, nine hundred seventy-eight million, three hundred forty-two thousand, nine hundred twenty".