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36609820728 = 233132333115413
BaseRepresentation
bin100010000110000111…
…011000100000111000
310111111101211120211020
4202012013120200320
51044434103230403
624452431302440
72434140225135
oct420607304070
9114441746736
1036609820728
1114587320198
12711867aa20
1335b58b7820
141ab423958c
15e4406e453
hex8861d8838

36609820728 has 128 divisors (see below), whose sum is σ = 103167751680. Its totient is φ = 10741547520.

The previous prime is 36609820721. The next prime is 36609820733. The reversal of 36609820728 is 82702890663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36609820721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2367550 + ... + 2382962.

It is an arithmetic number, because the mean of its divisors is an integer number (805998060).

Almost surely, 236609820728 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 36609820728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51583875840).

36609820728 is an abundant number, since it is smaller than the sum of its proper divisors (66557930952).

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

36609820728 is a wasteful number, since it uses less digits than its factorization.

36609820728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15789 (or 15785 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 36609820728 in words is "thirty-six billion, six hundred nine million, eight hundred twenty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 331 552 598 662 897 993 1196 1324 1794 1986 2392 2648 3588 3972 4303 7176 7613 7944 8606 12909 15226 15413 17212 22839 25818 30452 30826 34424 45678 46239 51636 60904 61652 91356 92478 98969 103272 123304 182712 184956 197938 200369 296907 354499 369912 395876 400738 593814 601107 708998 791752 801476 1063497 1187628 1202214 1417996 1602952 2126994 2375256 2404428 2835992 4253988 4608487 4808856 5101703 8507976 9216974 10203406 13825461 15305109 18433948 20406812 27650922 30610218 36867896 40813624 55301844 61220436 66322139 110603688 117339169 122440872 132644278 198966417 234678338 265288556 352017507 397932834 469356676 530577112 704035014 795865668 938713352 1408070028 1525409197 1591731336 2816140056 3050818394 4576227591 6101636788 9152455182 12203273576 18304910364 36609820728