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36474763164 = 22372354134897
BaseRepresentation
bin100001111110000100…
…001011011110011100
310111010222200221200020
4201332010023132130
51044200014410124
624431204432140
72430610241250
oct417604133634
9114128627606
1036474763164
1114518064474
12709b3a8650
13359391acc8
141aa0320260
15e37292379
hex87e10b79c

36474763164 has 96 divisors (see below), whose sum is σ = 101685513216. Its totient is φ = 9949547520.

The previous prime is 36474763147. The next prime is 36474763231. The reversal of 36474763164 is 46136747463.

36474763164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027764 + ... + 1062660.

It is an arithmetic number, because the mean of its divisors is an integer number (1059224096).

Almost surely, 236474763164 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 36474763164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50842756608).

36474763164 is an abundant number, since it is smaller than the sum of its proper divisors (65210750052).

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

36474763164 is a wasteful number, since it uses less digits than its factorization.

36474763164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35475 (or 35473 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 51.

The spelling of 36474763164 in words is "thirty-six billion, four hundred seventy-four million, seven hundred sixty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 541 644 966 1082 1623 1932 2164 3246 3787 6492 7574 11361 12443 15148 22722 24886 34897 37329 45444 49772 69794 74658 87101 104691 139588 149316 174202 209382 244279 261303 348404 418764 488558 522606 732837 802631 977116 1045212 1465674 1605262 2407893 2931348 3210524 4815786 5618417 9631572 11236834 16855251 18879277 22473668 33710502 37758554 56637831 67421004 75517108 113275662 132154939 226551324 264309878 396464817 434223371 528619756 792929634 868446742 1302670113 1585859268 1736893484 2605340226 3039563597 5210680452 6079127194 9118690791 12158254388 18237381582 36474763164