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36334076416 = 29116796289
BaseRepresentation
bin100001110101101011…
…100000001000000000
310110210011222022201221
4201311223200020000
51043403010421131
624405221204424
72424251360641
oct416553401000
9113704868657
1036334076416
1114455703430
127060260714
133570730201
141a8977b6c8
15e29c52411
hex875ae0200

36334076416 has 80 divisors (see below), whose sum is σ = 80379810720. Its totient is φ = 16268820480.

The previous prime is 36334076347. The next prime is 36334076453. The reversal of 36334076416 is 61467043363.

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, 329200 + ... + 425488.

It is an arithmetic number, because the mean of its divisors is an integer number (1004747634).

Almost surely, 236334076416 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 36334076416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40189905360).

36334076416 is an abundant number, since it is smaller than the sum of its proper divisors (44045734304).

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

36334076416 is an equidigital number, since it uses as much as digits as its factorization.

36334076416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96385 (or 96369 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 43.

The spelling of 36334076416 in words is "thirty-six billion, three hundred thirty-four million, seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 256 268 352 512 536 704 737 1072 1408 1474 2144 2816 2948 4288 5632 5896 8576 11792 17152 23584 34304 47168 94336 96289 188672 192578 377344 385156 770312 1059179 1540624 2118358 3081248 4236716 6162496 6451363 8473432 12324992 12902726 16946864 24649984 25805452 33893728 49299968 51610904 67787456 70964993 103221808 135574912 141929986 206443616 271149824 283859972 412887232 542299648 567719944 825774464 1135439888 1651548928 2270879776 3303097856 4541759552 9083519104 18167038208 36334076416