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148044477780 = 2232519404910691
BaseRepresentation
bin1000100111100000100…
…0110111010101010100
3112011010110210200200200
42021320020313111110
54411143341242110
6152002150540500
713460452204203
oct2117010672524
9464113720620
10148044477780
1157870280391
1224837967730
1310c643a8b14
147245b9323a
153cb70a56c0
hex2278237554

148044477780 has 144 divisors (see below), whose sum is σ = 472864392000. Its totient is φ = 37387975680.

The previous prime is 148044477731. The next prime is 148044477787. The reversal of 148044477780 is 87774440841.

148044477780 is a `hidden beast` number, since 1 + 480 + 44 + 47 + 7 + 7 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148044477787) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13842235 + ... + 13852925.

It is an arithmetic number, because the mean of its divisors is an integer number (3283780500).

Almost surely, 2148044477780 is an apocalyptic number.

148044477780 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 148044477780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236432196000).

148044477780 is an abundant number, since it is smaller than the sum of its proper divisors (324819914220).

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

148044477780 is a wasteful number, since it uses less digits than its factorization.

148044477780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14774 (or 14769 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 148044477780 in words is "one hundred forty-eight billion, forty-four million, four hundred seventy-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 4049 8098 10691 12147 16196 20245 21382 24294 32073 36441 40490 42764 48588 53455 60735 64146 72882 76931 80980 96219 106910 121470 128292 145764 153862 160365 182205 192438 203129 213820 230793 242940 307724 320730 364410 384655 384876 406258 461586 481095 609387 641460 692379 728820 769310 812516 923172 962190 1015645 1153965 1218774 1384758 1538620 1828161 1924380 2031290 2307930 2437548 2769516 3046935 3461895 3656322 4062580 4615860 6093870 6923790 7312644 9140805 12187740 13847580 18281610 36563220 43287859 86575718 129863577 173151436 216439295 259727154 389590731 432878590 519454308 649317885 779181462 822469321 865757180 1298635770 1558362924 1644938642 1947953655 2467407963 2597271540 3289877284 3895907310 4112346605 4934815926 7402223889 7791814620 8224693210 9869631852 12337039815 14804447778 16449386420 24674079630 29608895556 37011119445 49348159260 74022238890 148044477780