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148719189696 = 263721131151307
BaseRepresentation
bin1000101010000001011…
…0101011111011000000
3112012212111101121102220
42022200112223323000
54414034103032241
6152153132211040
713513254153300
oct2124026537300
9465774347386
10148719189696
1158087118440
12249a5909a80
1311041102b3c
1472ab627600
153d06430166
hex22a05abec0

148719189696 has 672 divisors, whose sum is σ = 520551972864. Its totient is φ = 37013760000.

The previous prime is 148719189677. The next prime is 148719189719. The reversal of 148719189696 is 696981917841.

It is a tau number, because it is divible by the number of its divisors (672).

Its product of digits (47029248) is a multiple of the sum of its prime divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 148719189696.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 484427175 + ... + 484427481.

It is an arithmetic number, because the mean of its divisors is an integer number (774630912).

Almost surely, 2148719189696 is an apocalyptic number.

148719189696 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 148719189696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260275986432).

148719189696 is an abundant number, since it is smaller than the sum of its proper divisors (371832783168).

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

148719189696 is a wasteful number, since it uses less digits than its factorization.

148719189696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 512 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 69.

The spelling of 148719189696 in words is "one hundred forty-eight billion, seven hundred nineteen million, one hundred eighty-nine thousand, six hundred ninety-six".