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87226820148 = 223131932897131
BaseRepresentation
bin101000100111100011…
…1111010011000110100
322100010222122120112110
41101033013322120310
52412120031221043
6104023233251020
76205363511046
oct1211707723064
9270128576473
1087226820148
1133aa12a2016
1214aa4103a70
1382c1425860
144316899a96
152407b8db33
hex144f1fa634

87226820148 has 48 divisors (see below), whose sum is σ = 220321094336. Its totient is φ = 26699950080.

The previous prime is 87226820147. The next prime is 87226820167. The reversal of 87226820148 is 84102862278.

It is a junction number, because it is equal to n+sod(n) for n = 87226820097 and 87226820106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87226820141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1418458 + ... + 1478673.

Almost surely, 287226820148 is an apocalyptic number.

It is an amenable number.

87226820148 is an abundant number, since it is smaller than the sum of its proper divisors (133094274188).

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

87226820148 is a wasteful number, since it uses less digits than its factorization.

87226820148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897344 (or 2897342 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 87226820148 in words is "eighty-seven billion, two hundred twenty-six million, eight hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 193 386 579 772 1158 2316 2509 5018 7527 10036 15054 30108 2897131 5794262 8691393 11588524 17382786 34765572 37662703 75325406 112988109 150650812 225976218 451952436 559146283 1118292566 1677438849 2236585132 3354877698 6709755396 7268901679 14537803358 21806705037 29075606716 43613410074 87226820148