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5195031552 = 2103462633
BaseRepresentation
bin1001101011010010…
…11110010000000000
3111102001100221120000
410311221132100000
541114412002202
62215255320000
7242511016404
oct46551362000
914361327500
105195031552
112226507107
12100b980000
1364a396589
14373d4d104
1520612d91c
hex135a5e400

5195031552 has 110 divisors (see below), whose sum is σ = 15513627558. Its totient is φ = 1731649536.

The previous prime is 5195031529. The next prime is 5195031557. The reversal of 5195031552 is 2551305915.

5195031552 is a `hidden beast` number, since 51 + 9 + 50 + 3 + 1 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3727835136 + 1467196416 = 61056^2 + 38304^2 .

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 (5195031557) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 51628 + ... + 114260.

Almost surely, 25195031552 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 5195031552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756813779).

5195031552 is an abundant number, since it is smaller than the sum of its proper divisors (10318596006).

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

5195031552 is an equidigital number, since it uses as much as digits as its factorization.

5195031552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62665 (or 62638 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The square root of 5195031552 is about 72076.5672878502. The cubic root of 5195031552 is about 1731.9262574232.

The spelling of 5195031552 in words is "five billion, one hundred ninety-five million, thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 62633 82944 125266 187899 250532 375798 501064 563697 751596 1002128 1127394 1503192 1691091 2004256 2254788 3006384 3382182 4008512 4509576 5073273 6012768 6764364 8017024 9019152 10146546 12025536 13528728 16034048 18038304 20293092 24051072 27057456 32068096 36076608 40586184 48102144 54114912 64136192 72153216 81172368 96204288 108229824 144306432 162344736 192408576 216459648 288612864 324689472 432919296 577225728 649378944 865838592 1298757888 1731677184 2597515776 5195031552