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36754120040 = 2351112725179
BaseRepresentation
bin100010001110101101…
…110101110101101000
310111212110100202021012
4202032231311311220
51100233023320130
624515024203052
72440541602631
oct421655656550
9114773322235
1036754120040
1114650819420
127158a69488
13360976ba31
141ac947c888
15e51a74995
hex88eb75d68

36754120040 has 96 divisors (see below), whose sum is σ = 90948160800. Its totient is φ = 13257336960.

The previous prime is 36754120027. The next prime is 36754120057. The reversal of 36754120040 is 4002145763.

It is a junction number, because it is equal to n+sod(n) for n = 36754119979 and 36754120006.

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 23 ways as a sum of consecutive naturals, for example, 7094171 + ... + 7099349.

It is an arithmetic number, because the mean of its divisors is an integer number (947376675).

Almost surely, 236754120040 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 36754120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45474080400).

36754120040 is an abundant number, since it is smaller than the sum of its proper divisors (54194040760).

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

36754120040 is a wasteful number, since it uses less digits than its factorization.

36754120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5455 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 36754120040 in words is "thirty-six billion, seven hundred fifty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 127 220 254 440 508 635 1016 1270 1397 2540 2794 5080 5179 5588 6985 10358 11176 13970 16129 20716 25895 27940 32258 41432 51790 55880 56969 64516 80645 103580 113938 129032 161290 177419 207160 227876 284845 322580 354838 455752 569690 645160 657733 709676 887095 1139380 1315466 1419352 1774190 2278760 2630932 3288665 3548380 5261864 6577330 7096760 7235063 13154660 14470126 26309320 28940252 36175315 57880504 72350630 83532091 144701260 167064182 289402520 334128364 417660455 668256728 835320910 918853001 1670641820 1837706002 3341283640 3675412004 4594265005 7350824008 9188530010 18377060020 36754120040