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48069923664 = 24371032814943
BaseRepresentation
bin101100110001001100…
…001101001101010000
311121002002001010122010
4230301030031031100
51241421400024124
634025533142520
73321134416020
oct546114151520
9147062033563
1048069923664
1119428245144
12939662aa40
1346c0c38519
142480277a80
1513b51e5529
hexb3130d350

48069923664 has 160 divisors (see below), whose sum is σ = 143837650944. Its totient is φ = 13549777920.

The previous prime is 48069923659. The next prime is 48069923711. The reversal of 48069923664 is 46632996084.

It is a happy number.

It is a super-3 number, since 3×480699236643 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 9722377 + ... + 9727319.

Almost surely, 248069923664 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 48069923664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71918825472).

48069923664 is an abundant number, since it is smaller than the sum of its proper divisors (95767727280).

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

48069923664 is a wasteful number, since it uses less digits than its factorization.

48069923664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 48069923664 in words is "forty-eight billion, sixty-nine million, nine hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 103 112 168 206 281 309 336 412 562 618 721 824 843 1124 1236 1442 1648 1686 1967 2163 2248 2472 2884 3372 3934 4326 4496 4943 4944 5768 5901 6744 7868 8652 9886 11536 11802 13488 14829 15736 17304 19772 23604 28943 29658 31472 34601 34608 39544 47208 57886 59316 69202 79088 86829 94416 103803 115772 118632 138404 173658 202601 207606 231544 237264 276808 347316 405202 415212 463088 509129 553616 607803 694632 810404 830424 1018258 1215606 1388983 1389264 1527387 1620808 1660848 2036516 2431212 2777966 3054774 3241616 3563903 4073032 4166949 4862424 5555932 6109548 7127806 8146064 8333898 9722881 9724848 10691709 11111864 12219096 14255612 16667796 19445762 21383418 22223728 24438192 28511224 29168643 33335592 38891524 42766836 57022448 58337286 66671184 77783048 85533672 116674572 143065249 155566096 171067344 233349144 286130498 429195747 466698288 572260996 858391494 1001456743 1144521992 1716782988 2002913486 2289043984 3004370229 3433565976 4005826972 6008740458 6867131952 8011653944 12017480916 16023307888 24034961832 48069923664