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148025637080 = 23547409319237
BaseRepresentation
bin1000100111011100000…
…0111111100011011000
3112011002011100111002222
42021313000333203120
54411124030341310
6152000235043212
713460133104066
oct2116700774330
9464064314088
10148025637080
1157860682062
12248315a0508
1310c60510289
14724348b036
153cb55d3055
hex227703f8d8

148025637080 has 64 divisors (see below), whose sum is σ = 340244807040. Its totient is φ = 57933292032.

The previous prime is 148025637079. The next prime is 148025637101. The reversal of 148025637080 is 80736520841.

148025637080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3847412-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7685222 + ... + 7704458.

It is an arithmetic number, because the mean of its divisors is an integer number (5316325110).

Almost surely, 2148025637080 is an apocalyptic number.

148025637080 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 148025637080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170122403520).

148025637080 is an abundant number, since it is smaller than the sum of its proper divisors (192219169960).

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

148025637080 is a wasteful number, since it uses less digits than its factorization.

148025637080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23388 (or 23384 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 148025637080 in words is "one hundred forty-eight billion, twenty-five million, six hundred thirty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 4093 8186 16372 19237 20465 32744 38474 40930 76948 81860 96185 153896 163720 192370 192371 384740 384742 769480 769484 904139 961855 1538968 1808278 1923710 3616556 3847420 4520695 7233112 7694840 9041390 18082780 36165560 78737041 157474082 314948164 393685205 629896328 787370410 1574740820 3149481640 3700640927 7401281854 14802563708 18503204635 29605127416 37006409270 74012818540 148025637080