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5524366160 = 245312181397
BaseRepresentation
bin1010010010100011…
…10010001101010000
3112021000001212201002
411021101302031100
542303214204120
62312102201132
7253620223535
oct51121621520
915230055632
105524366160
1123853a7075
1210a21231a8
136a0695521
143a599ad8c
15224ed4375
hex149472350

5524366160 has 120 divisors (see below), whose sum is σ = 13378784328. Its totient is φ = 2121292800.

The previous prime is 5524366097. The next prime is 5524366163. The reversal of 5524366160 is 616634255.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25847056 + 5498519104 = 5084^2 + 74152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5524366163) 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 23 ways as a sum of consecutive naturals, for example, 13915082 + ... + 13915478.

Almost surely, 25524366160 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 5524366160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689392164).

5524366160 is an abundant number, since it is smaller than the sum of its proper divisors (7854418168).

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

5524366160 is a wasteful number, since it uses less digits than its factorization.

5524366160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 5524366160 is about 74326.0799450637. The cubic root of 5524366160 is about 1767.7770256535. Note that the first 3 decimals are identical.

The spelling of 5524366160 in words is "five billion, five hundred twenty-four million, three hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 181 248 310 362 397 496 620 724 794 905 961 1240 1448 1588 1810 1922 1985 2480 2896 3176 3620 3844 3970 4805 5611 6352 7240 7688 7940 9610 11222 12307 14480 15376 15880 19220 22444 24614 28055 31760 38440 44888 49228 56110 61535 71857 76880 89776 98456 112220 123070 143714 173941 196912 224440 246140 287428 347882 359285 381517 448880 492280 574856 695764 718570 763034 869705 984560 1149712 1391528 1437140 1526068 1739410 1907585 2227567 2783056 2874280 3052136 3478820 3815170 4455134 5748560 6104272 6957640 7630340 8910268 11137835 13915280 15260680 17820536 22275670 30521360 35641072 44551340 69054577 89102680 138109154 178205360 276218308 345272885 552436616 690545770 1104873232 1381091540 2762183080 5524366160