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36466275144 = 23313231128909
BaseRepresentation
bin100001111101100011…
…110011001101001000
310111010101201201022010
4201331203303031020
51044140331301034
624430302455520
72430445136655
oct417543631510
9114111651263
1036466275144
1114513297282
1270985945a0
133591c38700
141a9d150c2c
15e366673e9
hex87d8f3348

36466275144 has 96 divisors (see below), whose sum is σ = 99038721600. Its totient is φ = 11183927040.

The previous prime is 36466275107. The next prime is 36466275149. The reversal of 36466275144 is 44157266463.

36466275144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36466275093 and 36466275102.

It is not an unprimeable number, because it can be changed into a prime (36466275149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1246962 + ... + 1275870.

It is an arithmetic number, because the mean of its divisors is an integer number (1031653350).

Almost surely, 236466275144 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 36466275144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49519360800).

36466275144 is an abundant number, since it is smaller than the sum of its proper divisors (62572446456).

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

36466275144 is a wasteful number, since it uses less digits than its factorization.

36466275144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29255 (or 29238 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The spelling of 36466275144 in words is "thirty-six billion, four hundred sixty-six million, two hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 311 312 338 507 622 676 933 1014 1244 1352 1866 2028 2488 3732 4043 4056 7464 8086 12129 16172 24258 28909 32344 48516 52559 57818 86727 97032 105118 115636 157677 173454 210236 231272 315354 346908 375817 420472 630708 693816 751634 1127451 1261416 1503268 2254902 3006536 4509804 4885621 8990699 9019608 9771242 14656863 17981398 19542484 26972097 29313726 35962796 39084968 53944194 58627452 71925592 107888388 116879087 117254904 215776776 233758174 350637261 467516348 701274522 935032696 1402549044 1519428131 2805098088 3038856262 4558284393 6077712524 9116568786 12155425048 18233137572 36466275144