Search a number
-
+
6630571445024 = 252947636123899
BaseRepresentation
bin110000001111100110011…
…0110110000101100100000
3212110212122220221220222002
41200133030312300230200
51332113402242220044
622034013101303132
71253020512234422
oct140371466605440
925425586856862
106630571445024
1121270117a409a
128b1070b64aa8
1339134c890937
1418ccc8350812
15b7722bab74e
hex607ccdb0b20

6630571445024 has 96 divisors (see below), whose sum is σ = 13794139296000. Its totient is φ = 3132236298240.

The previous prime is 6630571445011. The next prime is 6630571445027. The reversal of 6630571445024 is 4205441750366.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 6630571445024.

It is not an unprimeable number, because it can be changed into a prime (6630571445027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277429427 + ... + 277453325.

It is an arithmetic number, because the mean of its divisors is an integer number (143688951000).

Almost surely, 26630571445024 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 6630571445024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897069648000).

6630571445024 is an abundant number, since it is smaller than the sum of its proper divisors (7163567850976).

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

6630571445024 is a wasteful number, since it uses less digits than its factorization.

6630571445024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30346 (or 30338 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 47.

The spelling of 6630571445024 in words is "six trillion, six hundred thirty billion, five hundred seventy-one million, four hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 47 58 94 116 188 232 376 464 752 928 1363 1504 2726 5452 6361 10904 12722 21808 23899 25444 43616 47798 50888 95596 101776 184469 191192 203552 298967 368938 382384 597934 693071 737876 764768 1123253 1195868 1386142 1475752 2246506 2391736 2772284 2951504 4493012 4783472 5544568 5903008 8670043 8986024 9566944 11089136 17340086 17972048 22178272 32574337 34680172 35944096 65148674 69360344 130297348 138720688 152021539 260594696 277441376 304043078 521189392 608086156 1042378784 1216172312 2432344624 4408624631 4864689248 7145012333 8817249262 14290024666 17634498524 28580049332 35268997048 57160098664 70537994096 114320197328 141075988192 207205357657 228640394656 414410715314 828821430628 1657642861256 3315285722512 6630571445024