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148835931712 = 26131073594657
BaseRepresentation
bin1000101010011101010…
…0000001011001000000
3112020011122001201101021
42022213110001121000
54414303444303322
6152212502315224
713516202355106
oct2124724013100
9466148051337
10148835931712
1158137004446
1224a18a28b14
131105c358b60
1472bcd35c76
153d117e04c7
hex22a7501640

148835931712 has 112 divisors (see below), whose sum is σ = 322001205120. Its totient is φ = 67847380992.

The previous prime is 148835931701. The next prime is 148835931743. The reversal of 148835931712 is 217139538841.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 148835931712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31957288 + ... + 31961944.

It is an arithmetic number, because the mean of its divisors is an integer number (2875010760).

Almost surely, 2148835931712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148835931712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161000602560).

148835931712 is an abundant number, since it is smaller than the sum of its proper divisors (173165273408).

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

148835931712 is a wasteful number, since it uses less digits than its factorization.

148835931712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5138 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 52.

The spelling of 148835931712 in words is "one hundred forty-eight billion, eight hundred thirty-five million, nine hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 208 214 359 416 428 718 832 856 1391 1436 1712 2782 2872 3424 4657 4667 5564 5744 6848 9314 9334 11128 11488 18628 18668 22256 22976 37256 37336 38413 44512 60541 74512 74672 76826 89024 121082 149024 149344 153652 242164 298048 298688 307304 484328 498299 499369 614608 968656 996598 998738 1229216 1671863 1937312 1993196 1997476 2458432 3343726 3874624 3986392 3994952 6477887 6687452 7972784 7989904 12955774 13374904 15945568 15979808 21734219 25911548 26749808 31891136 31959616 43468438 51823096 53499616 86936876 103646192 106999232 173873752 178889341 207292384 347747504 357778682 414584768 695495008 715557364 1390990016 1431114728 2325561433 2862229456 4651122866 5724458912 9302245732 11448917824 18604491464 37208982928 74417965856 148835931712