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36319974084 = 223223213812
BaseRepresentation
bin100001110100110101…
…101101001011000100
310110202012102211222100
4201310311231023010
51043340403132314
624403555032100
72424020454162
oct416465551304
9113665384870
1036319974084
1114448751109
12705759b630
13356a833334
141a8794a232
15e288b8c09
hex874d6d2c4

36319974084 has 81 divisors (see below), whose sum is σ = 96043609389. Its totient is φ = 11571896160.

The previous prime is 36319974007. The next prime is 36319974091. The reversal of 36319974084 is 48047991363.

It is a happy number.

The square root of 36319974084 is 190578.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16506596484 + 19813377600 = 128478^2 + 140760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36319974084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26299074 + ... + 26300454.

Almost surely, 236319974084 is an apocalyptic number.

36319974084 is the 190578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36319974084

36319974084 is an abundant number, since it is smaller than the sum of its proper divisors (59723635305).

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

36319974084 is a wasteful number, since it uses less digits than its factorization.

36319974084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 36319974084 in words is "thirty-six billion, three hundred nineteen million, nine hundred seventy-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1381 1587 2116 2762 3174 4143 4761 5524 6348 8286 9522 12429 16572 19044 24858 31763 49716 63526 95289 127052 190578 285867 381156 571734 730549 1143468 1461098 1907161 2191647 2922196 3814322 4383294 5721483 6574941 7628644 8766588 11442966 13149882 17164449 22885932 26299764 34328898 43864703 68657796 87729406 131594109 175458812 263188218 394782327 526376436 789564654 1008888169 1579129308 2017776338 3026664507 4035552676 6053329014 9079993521 12106658028 18159987042 36319974084