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36420406340 = 22517310526129
BaseRepresentation
bin100001111010110100…
…110100110001000100
310111000012102100010112
4201322310310301010
51044042111000330
624421543412152
72426350226453
oct417264646104
9114005370115
1036420406340
111449a40837a
127085154058
1335855987c6
141a97010b9a
15e32606795
hex87ad34c44

36420406340 has 24 divisors (see below), whose sum is σ = 76924958040. Its totient is φ = 14483952128.

The previous prime is 36420406333. The next prime is 36420406397. The reversal of 36420406340 is 4360402463.

It can be written as a sum of positive squares in 4 ways, for example, as 15478843396 + 20941562944 = 124414^2 + 144712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36420406297 and 36420406306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5259605 + ... + 5266524.

It is an arithmetic number, because the mean of its divisors is an integer number (3205206585).

Almost surely, 236420406340 is an apocalyptic number.

It is an amenable number.

36420406340 is an abundant number, since it is smaller than the sum of its proper divisors (40504551700).

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

36420406340 is a wasteful number, since it uses less digits than its factorization.

36420406340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10526311 (or 10526309 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The spelling of 36420406340 in words is "thirty-six billion, four hundred twenty million, four hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 10526129 21052258 42104516 52630645 105261290 210522580 1821020317 3642040634 7284081268 9105101585 18210203170 36420406340