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36351165040 = 2453771172969
BaseRepresentation
bin100001110110101100…
…101100001001110000
310110211101010111220221
4201312230230021300
51043421344240130
624411031342424
72424546543001
oct416654541160
9113741114827
1036351165040
1114464315363
127065b21a14
133574134418
141a8bb491a8
15e2b4ca87a
hex876b2c270

36351165040 has 80 divisors (see below), whose sum is σ = 88023741120. Its totient is φ = 13948139520.

The previous prime is 36351165023. The next prime is 36351165041. The reversal of 36351165040 is 4056115363.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 36351164987 and 36351165005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36351165041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123676 + ... + 296644.

It is an arithmetic number, because the mean of its divisors is an integer number (1100296764).

Almost surely, 236351165040 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 36351165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44011870560).

36351165040 is an abundant number, since it is smaller than the sum of its proper divisors (51672576080).

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

36351165040 is a wasteful number, since it uses less digits than its factorization.

36351165040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173090 (or 173084 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 36351165040 in words is "thirty-six billion, three hundred fifty-one million, one hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 71 74 80 142 148 185 284 296 355 370 568 592 710 740 1136 1420 1480 2627 2840 2960 5254 5680 10508 13135 21016 26270 42032 52540 105080 172969 210160 345938 691876 864845 1383752 1729690 2767504 3459380 6399853 6918760 12280799 12799706 13837520 24561598 25599412 31999265 49123196 51198824 61403995 63998530 98246392 102397648 122807990 127997060 196492784 245615980 255994120 454389563 491231960 511988240 908779126 982463920 1817558252 2271947815 3635116504 4543895630 7270233008 9087791260 18175582520 36351165040