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148082432680 = 23571397141897
BaseRepresentation
bin1000100111101001100…
…1101001101010101000
3112011020010020000000201
42021322121221222220
54411233100321210
6152010024241544
713461422623660
oct2117231515250
9464203200021
10148082432680
115788a744476
12248486102b4
1310c6c207840
14724ac331a0
153cba5a153a
hex227a669aa8

148082432680 has 128 divisors (see below), whose sum is σ = 410506548480. Its totient is φ = 46816266240.

The previous prime is 148082432669. The next prime is 148082432699. The reversal of 148082432680 is 86234280841.

It is a self number, because there is not a number n which added to its sum of digits gives 148082432680.

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, 3513492 + ... + 3555388.

It is an arithmetic number, because the mean of its divisors is an integer number (3207082410).

Almost surely, 2148082432680 is an apocalyptic number.

148082432680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148082432680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205253274240).

148082432680 is an abundant number, since it is smaller than the sum of its proper divisors (262424115800).

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

148082432680 is a wasteful number, since it uses less digits than its factorization.

148082432680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42899 (or 42895 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 148082432680 in words is "one hundred forty-eight billion, eighty-two million, four hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 971 1820 1942 3640 3884 4855 6797 7768 9710 12623 13594 19420 25246 27188 33985 38840 41897 50492 54376 63115 67970 83794 88361 100984 126230 135940 167588 176722 209485 252460 271880 293279 335176 353444 418970 441805 504920 544661 586558 706888 837940 883610 1089322 1173116 1466395 1675880 1767220 2178644 2346232 2723305 2932790 3534440 3812627 4357288 5446610 5865580 7625254 10893220 11731160 15250508 19063135 21786440 30501016 38126270 40681987 76252540 81363974 152505080 162727948 203409935 284773909 325455896 406819870 528865831 569547818 813639740 1057731662 1139095636 1423869545 1627279480 2115463324 2278191272 2644329155 2847739090 3702060817 4230926648 5288658310 5695478180 7404121634 10577316620 11390956360 14808243268 18510304085 21154633240 29616486536 37020608170 74041216340 148082432680