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36434516440 = 235732655577
BaseRepresentation
bin100001111011101010…
…101001100111011000
310111001011222012112211
4201323222221213120
51044104214011230
624423210044504
72426611165000
oct417352514730
9114034865484
1036434516440
11144a7375513
127089a19734
13358849908a
141a98c45000
15e3399242a
hex87baa99d8

36434516440 has 64 divisors (see below), whose sum is σ = 95600808000. Its totient is φ = 12491829504.

The previous prime is 36434516369. The next prime is 36434516479. The reversal of 36434516440 is 4461543463.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 36434516393 and 36434516402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1314069 + ... + 1341508.

It is an arithmetic number, because the mean of its divisors is an integer number (1493762625).

Almost surely, 236434516440 is an apocalyptic number.

It is an amenable number.

36434516440 is an abundant number, since it is smaller than the sum of its proper divisors (59166291560).

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

36434516440 is a wasteful number, since it uses less digits than its factorization.

36434516440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655609 (or 2655591 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 36434516440 in words is "thirty-six billion, four hundred thirty-four million, five hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 13720 2655577 5311154 10622308 13277885 18589039 21244616 26555770 37178078 53111540 74356156 92945195 106223080 130123273 148712312 185890390 260246546 371780780 520493092 650616365 743561560 910862911 1040986184 1301232730 1821725822 2602465460 3643451644 4554314555 5204930920 7286903288 9108629110 18217258220 36434516440