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148363041672 = 233229333121247
BaseRepresentation
bin1000101000101100100…
…0000101101110001000
3112011221200020102012100
42022023020011232020
54412321414313142
6152053530513400
713501401021666
oct2121310055610
9464850212170
10148363041672
1157a1408412a
1224906595860
1310cb53a6471
1472761d9c36
153cd502eb4c
hex228b205b88

148363041672 has 96 divisors (see below), whose sum is σ = 404425082880. Its totient is φ = 49134349440.

The previous prime is 148363041661. The next prime is 148363041683. The reversal of 148363041672 is 276140363841.

148363041672 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 630 + 4 + 1 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (148363041661) and next prime (148363041683).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6972153 + ... + 6993399.

It is an arithmetic number, because the mean of its divisors is an integer number (4212761280).

Almost surely, 2148363041672 is an apocalyptic number.

148363041672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148363041672 is an abundant number, since it is smaller than the sum of its proper divisors (256062041208).

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

148363041672 is a wasteful number, since it uses less digits than its factorization.

148363041672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21883 (or 21876 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 148363041672 in words is "one hundred forty-eight billion, three hundred sixty-three million, forty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 331 586 662 879 993 1172 1324 1758 1986 2344 2637 2648 2979 3516 3972 5274 5958 7032 7944 10548 11916 21096 21247 23832 42494 63741 84988 96983 127482 169976 191223 193966 254964 290949 382446 387932 509928 581898 764892 775864 872847 1163796 1529784 1745694 2327592 3491388 6225371 6982776 7032757 12450742 14065514 18676113 21098271 24901484 28131028 37352226 42196542 49802968 56028339 56262056 63294813 74704452 84393084 112056678 126589626 149408904 168786168 224113356 253179252 448226712 506358504 2060597801 4121195602 6181793403 8242391204 12363586806 16484782408 18545380209 24727173612 37090760418 49454347224 74181520836 148363041672