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148810756000 = 2553206917981
BaseRepresentation
bin1000101010010111001…
…1111110111110100000
3112020002212200122210111
42022211303332332200
54414231023143000
6152210202541104
713515445361404
oct2124563767640
9466085618714
10148810756000
1158123879575
1224a10507794
131105708299a
1472b9861104
153d0e4bacba
hex22a5cfefa0

148810756000 has 96 divisors (see below), whose sum is σ = 365825088720. Its totient is φ = 59492224000.

The previous prime is 148810755971. The next prime is 148810756001. The reversal of 148810756000 is 657018841.

It can be written as a sum of positive squares in 8 ways, for example, as 17120152336 + 131690603664 = 130844^2 + 362892^2 .

It is a super-2 number, since 2×1488107560002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (148810756001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8267010 + ... + 8284990.

Almost surely, 2148810756000 is an apocalyptic number.

148810756000 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 148810756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182912544360).

148810756000 is an abundant number, since it is smaller than the sum of its proper divisors (217014332720).

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

148810756000 is a wasteful number, since it uses less digits than its factorization.

148810756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20075 (or 20057 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 148810756000 in words is "one hundred forty-eight billion, eight hundred ten million, seven hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2069 4000 4138 8276 10345 16552 17981 20690 33104 35962 41380 51725 66208 71924 82760 89905 103450 143848 165520 179810 206900 258625 287696 331040 359620 413800 449525 517250 575392 719240 827600 899050 1034500 1438480 1655200 1798100 2069000 2247625 2876960 3596200 4138000 4495250 7192400 8276000 8990500 14384800 17981000 35962000 37202689 71924000 74405378 148810756 186013445 297621512 372026890 595243024 744053780 930067225 1190486048 1488107560 1860134450 2976215120 3720268900 4650336125 5952430240 7440537800 9300672250 14881075600 18601344500 29762151200 37202689000 74405378000 148810756000