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148346456750 = 2531953797459
BaseRepresentation
bin1000101000101000100…
…0110100101010101110
3112011220112000210221222
42022022020310222232
54412303143104000
6152052135223342
713501110035312
oct2121210645256
9464815023858
10148346456750
1157a05786688
1224900b17b52
1310cb1b1a5bb
147273d1db42
153cd3855a85
hex228a234aae

148346456750 has 128 divisors (see below), whose sum is σ = 301646592000. Its totient is φ = 54449366400.

The previous prime is 148346456743. The next prime is 148346456759. The reversal of 148346456750 is 57654643841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 148346456692 and 148346456701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148346456759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19884521 + ... + 19891979.

It is an arithmetic number, because the mean of its divisors is an integer number (2356614000).

Almost surely, 2148346456750 is an apocalyptic number.

148346456750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148346456750 is an abundant number, since it is smaller than the sum of its proper divisors (153300135250).

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

148346456750 is a wasteful number, since it uses less digits than its factorization.

148346456750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7627 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 53.

The spelling of 148346456750 in words is "one hundred forty-eight billion, three hundred forty-six million, four hundred fifty-six thousand, seven hundred fifty".

Divisors: 1 2 5 10 19 25 38 50 53 79 95 106 125 158 190 250 265 395 475 530 790 950 1007 1325 1501 1975 2014 2375 2650 3002 3950 4187 4750 5035 6625 7459 7505 8374 9875 10070 13250 14918 15010 19750 20935 25175 37295 37525 41870 50350 74590 75050 79553 104675 125875 141721 159106 186475 187625 209350 251750 283442 372950 375250 395327 397765 523375 589261 708605 790654 795530 932375 1046750 1178522 1417210 1864750 1976635 1988825 2946305 3543025 3953270 3977650 5892610 7086050 7511213 9883175 9944125 11195959 14731525 15022426 17715125 19766350 19888250 22391918 29463050 31230833 35430250 37556065 49415875 55979795 62461666 73657625 75112130 98831750 111959590 147315250 156154165 187780325 279898975 312308330 375560650 559797950 593385827 780770825 938901625 1186771654 1399494875 1561541650 1877803250 2798989750 2966929135 3903854125 5933858270 7807708250 14834645675 29669291350 74173228375 148346456750