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645166144 = 2672419491
BaseRepresentation
bin100110011101000…
…111010001000000
31122221222211120101
4212131013101000
52310130304034
6144004052144
721662551600
oct4635072100
91587884511
10645166144
113011a7967
12160094054
13a3880a1c
1461982c00
153b990514
hex26747440

645166144 has 84 divisors (see below), whose sum is σ = 1495866960. Its totient is φ = 275278080.

The previous prime is 645166139. The next prime is 645166157. The reversal of 645166144 is 441661546.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1313739 + ... + 1314229.

It is an arithmetic number, because the mean of its divisors is an integer number (17807940).

Almost surely, 2645166144 is an apocalyptic number.

645166144 is a gapful number since it is divisible by the number (64) 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 645166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747933480).

645166144 is an abundant number, since it is smaller than the sum of its proper divisors (850700816).

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

645166144 is a wasteful number, since it uses less digits than its factorization.

645166144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 919 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 645166144 is about 25400.1209445939. The cubic root of 645166144 is about 864.0864396828.

The spelling of 645166144 in words is "six hundred forty-five million, one hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 419 448 491 784 838 982 1568 1676 1964 2933 3136 3352 3437 3928 5866 6704 6874 7856 11732 13408 13748 15712 20531 23464 24059 26816 27496 31424 41062 46928 48118 54992 82124 93856 96236 109984 164248 187712 192472 205729 219968 328496 384944 411458 656992 769888 822916 1313984 1440103 1539776 1645832 2880206 3291664 5760412 6583328 10080721 11520824 13166656 20161442 23041648 40322884 46083296 80645768 92166592 161291536 322583072 645166144