Search a number
-
+
70443627264 = 283327137607
BaseRepresentation
bin100000110011011000…
…1000111001100000000
320201211100010001002000
41001212301013030000
52123232032033024
652210015224000
75042441644413
oct1014661071400
9221740101060
1070443627264
112796965587a
121179b518000
1368483227aa
1435a38d5b7a
151c74540cc9
hex1066c47300

70443627264 has 144 divisors (see below), whose sum is σ = 209088445440. Its totient is φ = 23393940480.

The previous prime is 70443627259. The next prime is 70443627301. The reversal of 70443627264 is 46272634407.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 1854349 + ... + 1891955.

Almost surely, 270443627264 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 70443627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104544222720).

70443627264 is an abundant number, since it is smaller than the sum of its proper divisors (138644818176).

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

70443627264 is a wasteful number, since it uses less digits than its factorization.

70443627264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37903 (or 37883 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 70443627264 in words is "seventy billion, four hundred forty-three million, six hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 271 288 384 432 542 576 768 813 864 1084 1152 1626 1728 2168 2304 2439 3252 3456 4336 4878 6504 6912 7317 8672 9756 13008 14634 17344 19512 26016 29268 34688 37607 39024 52032 58536 69376 75214 78048 104064 112821 117072 150428 156096 208128 225642 234144 300856 312192 338463 451284 468288 601712 624384 676926 902568 936576 1015389 1203424 1353852 1805136 1873152 2030778 2406848 2707704 3610272 4061556 4813696 5415408 7220544 8123112 9627392 10191497 10830816 14441088 16246224 20382994 21661632 28882176 30574491 32492448 40765988 43323264 61148982 64984896 81531976 86646528 91723473 122297964 129969792 163063952 183446946 244595928 259939584 275170419 326127904 366893892 489191856 550340838 652255808 733787784 978383712 1100681676 1304511616 1467575568 1956767424 2201363352 2609023232 2935151136 3913534848 4402726704 5870302272 7827069696 8805453408 11740604544 17610906816 23481209088 35221813632 70443627264