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5016439008 = 253276737139
BaseRepresentation
bin1001010110000000…
…01100100011100000
3110221121022111122100
410223000030203200
540233202022013
62145435410400
7235212012420
oct45300144340
913847274570
105016439008
112144715969
12b7bbb3a00
1361c396209
14358340480
151e5602473
hex12b00c8e0

5016439008 has 144 divisors (see below), whose sum is σ = 16547207040. Its totient is φ = 1411838208.

The previous prime is 5016439007. The next prime is 5016439009. The reversal of 5016439008 is 8009346105.

5016439008 is a `hidden beast` number, since 5 + 0 + 1 + 643 + 9 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5016439007) and next prime (5016439009).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5016439007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116503 + ... + 153641.

It is an arithmetic number, because the mean of its divisors is an integer number (114911160).

Almost surely, 25016439008 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 5016439008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273603520).

5016439008 is an abundant number, since it is smaller than the sum of its proper divisors (11530768032).

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

5016439008 is a wasteful number, since it uses less digits than its factorization.

5016439008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37229 (or 37218 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5016439008 is about 70826.8240711102. The cubic root of 5016439008 is about 1711.8479171684.

The spelling of 5016439008 in words is "five billion, sixteen million, four hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 67 72 84 96 112 126 134 144 168 201 224 252 268 288 336 402 469 504 536 603 672 804 938 1008 1072 1206 1407 1608 1876 2016 2144 2412 2814 3216 3752 4221 4824 5628 6432 7504 8442 9648 11256 15008 16884 19296 22512 33768 37139 45024 67536 74278 111417 135072 148556 222834 259973 297112 334251 445668 519946 594224 668502 779919 891336 1039892 1188448 1337004 1559838 1782672 2079784 2339757 2488313 2674008 3119676 3565344 4159568 4679514 4976626 5348016 6239352 7464939 8319136 9359028 9953252 10696032 12478704 14929878 17418191 18718056 19906504 22394817 24957408 29859756 34836382 37436112 39813008 44789634 52254573 59719512 69672764 74872224 79626016 89579268 104509146 119439024 139345528 156763719 179158536 209018292 238878048 278691056 313527438 358317072 418036584 557382112 627054876 716634144 836073168 1254109752 1672146336 2508219504 5016439008