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36460034522340 = 223511138263514271
BaseRepresentation
bin10000100101001000000110…
…11001111111110011100100
311210002112201111100101212120
420102210003121333303210
514234330122314203330
6205313301510345540
710452102434001342
oct1022440331776344
9153075644311776
1036460034522340
1110687682a82020
12410a24795b2b0
131746221a63a80
1490096461a992
15433620e2bc10
hex21290367fce4

36460034522340 has 192 divisors, whose sum is σ = 119950414036992. Its totient is φ = 8157885580800.

The previous prime is 36460034522333. The next prime is 36460034522389. The reversal of 36460034522340 is 4322543006463.

It is a junction number, because it is equal to n+sod(n) for n = 36460034522292 and 36460034522301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70639405 + ... + 71153675.

It is an arithmetic number, because the mean of its divisors is an integer number (624741739776).

Almost surely, 236460034522340 is an apocalyptic number.

36460034522340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36460034522340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59975207018496).

36460034522340 is an abundant number, since it is smaller than the sum of its proper divisors (83490379514652).

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

36460034522340 is a wasteful number, since it uses less digits than its factorization.

36460034522340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522570 (or 522568 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

The spelling of 36460034522340 in words is "thirty-six trillion, four hundred sixty billion, thirty-four million, five hundred twenty-two thousand, three hundred forty".