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148069221216 = 2537251877853
BaseRepresentation
bin1000100111100110011…
…1010000001101100000
3112011012012100210022020
42021321213100031200
54411221210034331
6152004433141440
713461202420410
oct2117147201540
9464165323266
10148069221216
1157883240504
12248440ba880
1310c695602c7
147249194640
153cb9341c96
hex22799d0360

148069221216 has 96 divisors (see below), whose sum is σ = 445977923328. Its totient is φ = 42136896000.

The previous prime is 148069221211. The next prime is 148069221229. The reversal of 148069221216 is 612122960841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148069221211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270255 + ... + 607598.

It is an arithmetic number, because the mean of its divisors is an integer number (4645603368).

Almost surely, 2148069221216 is an apocalyptic number.

148069221216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

148069221216 is an abundant number, since it is smaller than the sum of its proper divisors (297908702112).

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

148069221216 is a wasteful number, since it uses less digits than its factorization.

148069221216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878124 (or 878116 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 148069221216 in words is "one hundred forty-eight billion, sixty-nine million, two hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 251 336 502 672 753 1004 1506 1757 2008 3012 3514 4016 5271 6024 7028 8032 10542 12048 14056 21084 24096 28112 42168 56224 84336 168672 877853 1755706 2633559 3511412 5267118 6144971 7022824 10534236 12289942 14045648 18434913 21068472 24579884 28091296 36869826 42136944 49159768 73739652 84273888 98319536 147479304 196639072 220341103 294958608 440682206 589917216 661023309 881364412 1322046618 1542387721 1762728824 2644093236 3084775442 3525457648 4627163163 5288186472 6169550884 7050915296 9254326326 10576372944 12339101768 18508652652 21152745888 24678203536 37017305304 49356407072 74034610608 148069221216