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87333472408 = 237132340113007
BaseRepresentation
bin101000101010101111…
…0110000100010011000
322100102102100001221011
41101111132300202120
52412324332104113
6104042003223304
76211130160430
oct1212536604230
9270372301834
1087333472408
1134046517486
1214b13977b34
13830a5581c0
144326add2c0
15241220963d
hex14557b0898

87333472408 has 128 divisors (see below), whose sum is σ = 210841989120. Its totient is φ = 32962406400.

The previous prime is 87333472351. The next prime is 87333472427. The reversal of 87333472408 is 80427433378.

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, 6707841 + ... + 6720847.

It is an arithmetic number, because the mean of its divisors is an integer number (1647203040).

Almost surely, 287333472408 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 87333472408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105420994560).

87333472408 is an abundant number, since it is smaller than the sum of its proper divisors (123508516712).

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

87333472408 is a wasteful number, since it uses less digits than its factorization.

87333472408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13457 (or 13453 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

The spelling of 87333472408 in words is "eighty-seven billion, three hundred thirty-three million, four hundred seventy-two thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 182 184 299 322 364 401 598 644 728 802 1196 1288 1604 2093 2392 2807 3208 4186 5213 5614 8372 9223 10426 11228 13007 16744 18446 20852 22456 26014 36491 36892 41704 52028 64561 72982 73784 91049 104056 119899 129122 145964 169091 182098 239798 258244 291928 299161 338182 364196 479596 516488 598322 676364 728392 839293 959192 1183637 1196644 1352728 1678586 2094127 2367274 2393288 3357172 3889093 4188254 4734548 5215807 6714344 7778186 8376508 9469096 10431614 15556372 16753016 20863228 27223651 31112744 36510649 41726456 54447302 67805491 73021298 108894604 119963561 135610982 146042596 217789208 239927122 271221964 292085192 474638437 479854244 542443928 839744927 949276874 959708488 1559526293 1679489854 1898553748 3119052586 3358979708 3797107496 6238105172 6717959416 10916684051 12476210344 21833368102 43666736204 87333472408