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148705673472 = 28352337532
BaseRepresentation
bin1000101001111110001…
…1001000000100000000
3112012211112221220200000
42022133203020010000
54414022123022342
6152151530400000
713513031240346
oct2123743100400
9465745856600
10148705673472
115807a526504
12249a1290000
131103b37c985
1472a9909996
153d0516044c
hex229f8c8100

148705673472 has 648 divisors, whose sum is σ = 485666860224. Its totient is φ = 45261545472.

The previous prime is 148705673461. The next prime is 148705673483. The reversal of 148705673472 is 274376507841.

148705673472 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 0 + 567 + 3 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (148705673461) and next prime (148705673483).

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×1487056734722 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2805767398 + ... + 2805767450.

Almost surely, 2148705673472 is an apocalyptic number.

148705673472 is a gapful number since it is divisible by the number (12) 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 148705673472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242833430112).

148705673472 is an abundant number, since it is smaller than the sum of its proper divisors (336961186752).

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

148705673472 is an frugal number, since it uses more digits than its factorization.

148705673472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 148705673472 in words is "one hundred forty-eight billion, seven hundred five million, six hundred seventy-three thousand, four hundred seventy-two".