Search a number
-
+
445034575680 = 26354491032467
BaseRepresentation
bin1100111100111100010…
…00001011011101000000
31120112201020001211222020
412132132020023131000
524242412322410210
6540240203241440
744103241323012
oct6363610133500
91515636054866
10445034575680
11161813463692
1272301219280
1332c74767066
141777b2721b2
15b89a3b6770
hex679e20b740

445034575680 has 112 divisors (see below), whose sum is σ = 1416133108800. Its totient is φ = 118411460608.

The previous prime is 445034575669. The next prime is 445034575693. The reversal of 445034575680 is 86575430544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85194 + ... + 947273.

Almost surely, 2445034575680 is an apocalyptic number.

445034575680 is a gapful number since it is divisible by the number (40) 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 445034575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708066554400).

445034575680 is an abundant number, since it is smaller than the sum of its proper divisors (971098533120).

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

445034575680 is a wasteful number, since it uses less digits than its factorization.

445034575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032936 (or 1032926 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 51.

The spelling of 445034575680 in words is "four hundred forty-five billion, thirty-four million, five hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 449 480 898 960 1347 1796 2245 2694 3592 4490 5388 6735 7184 8980 10776 13470 14368 17960 21552 26940 28736 35920 43104 53880 71840 86208 107760 143680 215520 431040 1032467 2064934 3097401 4129868 5162335 6194802 8259736 10324670 12389604 15487005 16519472 20649340 24779208 30974010 33038944 41298680 49558416 61948020 66077888 82597360 99116832 123896040 165194720 198233664 247792080 330389440 463577683 495584160 927155366 991168320 1390733049 1854310732 2317888415 2781466098 3708621464 4635776830 5562932196 6953665245 7417242928 9271553660 11125864392 13907330490 14834485856 18543107320 22251728784 27814660980 29668971712 37086214640 44503457568 55629321960 74172429280 89006915136 111258643920 148344858560 222517287840 445034575680