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148437680000 = 275410118371
BaseRepresentation
bin1000101000111110010…
…0110011111110000000
3112012010212200102201212
42022033210303332000
54413000021230000
6152105154345252
713503265314311
oct2121744637600
9465125612655
10148437680000
1157a52222aa5
122492758b228
1310cc79aa25c
1472820a8608
153cdb874c35
hex228f933f80

148437680000 has 160 divisors (see below), whose sum is σ = 373205317320. Its totient is φ = 58784000000.

The previous prime is 148437679921. The next prime is 148437680009. The reversal of 148437680000 is 86734841.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 148437680000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148437680009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8070815 + ... + 8089185.

Almost surely, 2148437680000 is an apocalyptic number.

148437680000 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 148437680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186602658660).

148437680000 is an abundant number, since it is smaller than the sum of its proper divisors (224767637320).

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

148437680000 is an equidigital number, since it uses as much as digits as its factorization.

148437680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18506 (or 18479 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 148437680000 in words is "one hundred forty-eight billion, four hundred thirty-seven million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 128 160 200 202 250 320 400 404 500 505 625 640 800 808 1000 1010 1250 1600 1616 2000 2020 2500 2525 3200 3232 4000 4040 5000 5050 6464 8000 8080 10000 10100 12625 12928 16000 16160 18371 20000 20200 25250 32320 36742 40000 40400 50500 63125 64640 73484 80000 80800 91855 101000 126250 146968 161600 183710 202000 252500 293936 323200 367420 404000 459275 505000 587872 734840 808000 918550 1010000 1175744 1469680 1616000 1837100 1855471 2020000 2296375 2351488 2939360 3674200 3710942 4040000 4592750 5878720 7348400 7421884 8080000 9185500 9277355 11481875 11757440 14696800 14843768 18371000 18554710 22963750 29393600 29687536 36742000 37109420 45927500 46386775 58787200 59375072 73484000 74218840 91855000 92773550 118750144 146968000 148437680 183710000 185547100 231933875 237500288 293936000 296875360 367420000 371094200 463867750 593750720 734840000 742188400 927735500 1159669375 1187501440 1469680000 1484376800 1855471000 2319338750 2968753600 3710942000 4638677500 5937507200 7421884000 9277355000 14843768000 18554710000 29687536000 37109420000 74218840000 148437680000