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444213913060 = 225172951798699
BaseRepresentation
bin1100111011011010011…
…01100110010111100100
31120110121000211212111101
412131231031212113210
524234222230204220
6540022525445444
744044014650431
oct6355515462744
91513530755441
10444213913060
1116143219a715
1272112410884
1332b7372b288
1417700288b88
15b84d30c30a
hex676d3665e4

444213913060 has 96 divisors (see below), whose sum is σ = 1022096880000. Its totient is φ = 161417066496.

The previous prime is 444213913037. The next prime is 444213913093. The reversal of 444213913060 is 60319312444.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51060591 + ... + 51069289.

It is an arithmetic number, because the mean of its divisors is an integer number (10646842500).

Almost surely, 2444213913060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444213913060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511048440000).

444213913060 is an abundant number, since it is smaller than the sum of its proper divisors (577882966940).

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

444213913060 is a wasteful number, since it uses less digits than its factorization.

444213913060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13933 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 444213913060 in words is "four hundred forty-four billion, two hundred thirteen million, nine hundred thirteen thousand, sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 5179 8699 9860 10358 17398 20716 25895 34796 43495 51790 86990 88043 103580 147883 150191 173980 176086 252271 295766 300382 352172 440215 504542 591532 600764 739415 750955 880430 1009084 1261355 1478830 1501910 1760860 2522710 2553247 2957660 3003820 4288607 5045420 5106494 8577214 10212988 12766235 17154428 21443035 25532470 42886070 45052121 51064940 85772140 90104242 180208484 225260605 450521210 765886057 901042420 1306511509 1531772114 2613023018 3063544228 3829430285 5226046036 6532557545 7658860570 13065115090 15317721140 22210695653 26130230180 44421391306 88842782612 111053478265 222106956530 444213913060