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148016268269352 = 2333797894357321
BaseRepresentation
bin100001101001111010111001…
…000101110101011100101000
3201102002012212020020122122000
4201221322321011311130220
5123400044304134104402
61242445422424331000
743114552053231120
oct4151727105653450
9642065766218560
10148016268269352
114318738a730a8a
1214726664913a60
136478b49828c32
14287a0503b1c80
15121a399789c1c
hex869eb9175728

148016268269352 has 64 divisors (see below), whose sum is σ = 469892915145600. Its totient is φ = 42290362362240.

The previous prime is 148016268269333. The next prime is 148016268269377. The reversal of 148016268269352 is 253962862610841.

148016268269352 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 16 + 2 + 6 + 8 + 269 + 352 = 666.

148016268269352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 148016268269352.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48947177149 + ... + 48947180172.

It is an arithmetic number, because the mean of its divisors is an integer number (7342076799150).

Almost surely, 2148016268269352 is an apocalyptic number.

148016268269352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148016268269352 is an abundant number, since it is smaller than the sum of its proper divisors (321876646876248).

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

148016268269352 is a wasteful number, since it uses less digits than its factorization.

148016268269352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97894357343 (or 97894357333 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 148016268269352 in words is "one hundred forty-eight trillion, sixteen billion, two hundred sixty-eight million, two hundred sixty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 97894357321 195788714642 293683071963 391577429284 587366143926 685260501247 783154858568 881049215889 1174732287852 1370521002494 1762098431778 2055781503741 2349464575704 2643147647667 2741042004988 3524196863556 4111563007482 5286295295334 5482084009976 6167344511223 7048393727112 8223126014964 10572590590668 12334689022446 16446252029928 18502033533669 21145181181336 24669378044892 37004067067338 49338756089784 74008134134676 148016268269352