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48069233892 = 22341492513967
BaseRepresentation
bin101100110001001001…
…100100110011100100
311121002000202002110000
4230301021210303210
51241421210441032
634025510301300
73321125514021
oct546111446344
9147060662400
1048069233892
1119427913989
129396357830
1346c0a56584
142480138548
1513b510ae7c
hexb31264ce4

48069233892 has 120 divisors (see below), whose sum is σ = 127041868800. Its totient is φ = 15848136000.

The previous prime is 48069233869. The next prime is 48069233911. The reversal of 48069233892 is 29833296084.

It is a happy number.

48069233892 is a `hidden beast` number, since 480 + 69 + 23 + 3 + 89 + 2 = 666.

It is a super-3 number, since 3×480692338923 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12115293 + ... + 12119259.

It is an arithmetic number, because the mean of its divisors is an integer number (1058682240).

Almost surely, 248069233892 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 48069233892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63520934400).

48069233892 is an abundant number, since it is smaller than the sum of its proper divisors (78972634908).

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

48069233892 is a wasteful number, since it uses less digits than its factorization.

48069233892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

It can be divided in two parts, 48069 and 233892, that added together give a square (281961 = 5312).

The spelling of 48069233892 in words is "forty-eight billion, sixty-nine million, two hundred thirty-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 251 298 324 447 502 596 753 894 1004 1341 1506 1788 2259 2682 3012 3967 4023 4518 5364 6777 7934 8046 9036 11901 12069 13554 15868 16092 20331 23802 24138 27108 35703 37399 40662 47604 48276 71406 74798 81324 107109 112197 142812 149596 214218 224394 321327 336591 428436 448788 591083 642654 673182 995717 1009773 1182166 1285308 1346364 1773249 1991434 2019546 2364332 2987151 3029319 3546498 3982868 4039092 5319747 5974302 6058638 7092996 8961453 10639494 11948604 12117276 15959241 17922906 21278988 26884359 31918482 35845812 47877723 53768718 63836964 80653077 95755446 107537436 148361833 161306154 191510892 296723666 322612308 445085499 593447332 890170998 1335256497 1780341996 2670512994 4005769491 5341025988 8011538982 12017308473 16023077964 24034616946 48069233892