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36362134540 = 225711271631237
BaseRepresentation
bin100001110111010110…
…100010010000001100
310110212010202211020201
4201313112202100030
51043432201301130
624412102423244
72425042021024
oct416726422014
9113763684221
1036362134540
111446a527966
127069731b24
1335764a5354
141a8d3a2a84
15e2c445bca
hex8775a240c

36362134540 has 96 divisors (see below), whose sum is σ = 78588002304. Its totient is φ = 14128369920.

The previous prime is 36362134493. The next prime is 36362134607. The reversal of 36362134540 is 4543126363.

It is a super-2 number, since 2×363621345402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36362134540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29394802 + ... + 29396038.

It is an arithmetic number, because the mean of its divisors is an integer number (818625024).

Almost surely, 236362134540 is an apocalyptic number.

It is an amenable number.

36362134540 is an abundant number, since it is smaller than the sum of its proper divisors (42225867764).

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

36362134540 is a wasteful number, since it uses less digits than its factorization.

36362134540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

It can be divided in two parts, 363621 and 34540, that added together give a square (398161 = 6312).

The spelling of 36362134540 in words is "thirty-six billion, three hundred sixty-two million, one hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 71 127 142 163 254 284 326 355 508 635 652 710 815 1237 1270 1420 1630 2474 2540 3260 4948 6185 9017 11573 12370 18034 20701 23146 24740 36068 41402 45085 46292 57865 82804 87827 90170 103505 115730 157099 175654 180340 201631 207010 231460 314198 351308 403262 414020 439135 628396 785495 806524 878270 1008155 1469771 1570990 1756540 2016310 2939542 3141980 4032620 5879084 7348855 11154029 14315801 14697710 22308058 25607137 28631602 29395420 44616116 51214274 55770145 57263204 71579005 102428548 111540290 128035685 143158010 223080580 256071370 286316020 512142740 1818106727 3636213454 7272426908 9090533635 18181067270 36362134540