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148006671048 = 233219293730759
BaseRepresentation
bin1000100111010111100…
…0101001001011001000
3112011000211122220121100
42021311320221023020
54411104201433143
6151554320341400
713456512642405
oct2116570511310
9464024586540
10148006671048
11578509a8655
1224827174860
1310c595cc682
147240b512ac
153cb3ad86d3
hex2275e292c8

148006671048 has 96 divisors (see below), whose sum is σ = 436498920000. Its totient is φ = 45127248768.

The previous prime is 148006671017. The next prime is 148006671061. The reversal of 148006671048 is 840176600841.

148006671048 is a `hidden beast` number, since 1 + 480 + 0 + 6 + 67 + 104 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 148006670994 and 148006671012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1825708 + ... + 1905051.

It is an arithmetic number, because the mean of its divisors is an integer number (4546863750).

Almost surely, 2148006671048 is an apocalyptic number.

148006671048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

148006671048 is an abundant number, since it is smaller than the sum of its proper divisors (288492248952).

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

148006671048 is a wasteful number, since it uses less digits than its factorization.

148006671048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730819 (or 3730812 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 148006671048 in words is "one hundred forty-eight billion, six million, six hundred seventy-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 522 551 684 696 1044 1102 1368 1653 2088 2204 3306 4408 4959 6612 9918 13224 19836 39672 3730759 7461518 11192277 14923036 22384554 29846072 33576831 44769108 67153662 70884421 89538216 108192011 134307324 141768842 212653263 216384022 268614648 283537684 324576033 425306526 432768044 567075368 637959789 649152066 850613052 865536088 973728099 1275919578 1298304132 1701226104 1947456198 2055648209 2551839156 2596608264 3894912396 4111296418 5103678312 6166944627 7789824792 8222592836 12333889254 16445185672 18500833881 24667778508 37001667762 49335557016 74003335524 148006671048