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5436986120 = 235296176837
BaseRepresentation
bin1010001000001000…
…11101001100001000
3112000220122111211022
411010010131030020
542113332023440
62255301252012
7251506422326
oct50404351410
915026574738
105436986120
112340045165
121078a04008
1368854cc67
14398132d16
1521c4c3cb5
hex14411d308

5436986120 has 64 divisors (see below), whose sum is σ = 12862681200. Its totient is φ = 2065351680.

The previous prime is 5436986083. The next prime is 5436986153. The reversal of 5436986120 is 216896345.

It can be written as a sum of positive squares in 8 ways, for example, as 845297476 + 4591688644 = 29074^2 + 67762^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32342 + ... + 109178.

Almost surely, 25436986120 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 5436986120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431340600).

5436986120 is an abundant number, since it is smaller than the sum of its proper divisors (7425695080).

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

5436986120 is a wasteful number, since it uses less digits than its factorization.

5436986120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76938 (or 76934 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 5436986120 is about 73735.9215037013. The cubic root of 5436986120 is about 1758.4070167805.

The spelling of 5436986120 in words is "five billion, four hundred thirty-six million, nine hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 232 244 290 305 488 580 610 1160 1220 1769 2440 3538 7076 8845 14152 17690 35380 70760 76837 153674 307348 384185 614696 768370 1536740 2228273 3073480 4456546 4687057 8913092 9374114 11141365 17826184 18748228 22282730 23435285 37496456 44565460 46870570 89130920 93741140 135924653 187482280 271849306 543698612 679623265 1087397224 1359246530 2718493060 5436986120