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149347850148 = 223278912752433
BaseRepresentation
bin1000101100010111010…
…0110101011110100100
3112021111022022212110100
42023011310311132210
54421331022201043
6152335350424100
713534656531510
oct2130564653644
9467438285410
10149347850148
1158379a71332
1224b40362030
1311111424a83
14732ad11140
153d4170ecd3
hex22c5d357a4

149347850148 has 144 divisors (see below), whose sum is σ = 439740887040. Its totient is φ = 41858353152.

The previous prime is 149347850111. The next prime is 149347850191. The reversal of 149347850148 is 841058743941.

149347850148 is a `hidden beast` number, since 1 + 4 + 93 + 4 + 7 + 8 + 501 + 48 = 666.

149347850148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 149347850094 and 149347850103.

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 47 ways as a sum of consecutive naturals, for example, 2822140 + ... + 2874572.

It is an arithmetic number, because the mean of its divisors is an integer number (3053756160).

Almost surely, 2149347850148 is an apocalyptic number.

149347850148 is a gapful number since it is divisible by the number (18) 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 149347850148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219870443520).

149347850148 is an abundant number, since it is smaller than the sum of its proper divisors (290393036892).

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

149347850148 is a wasteful number, since it uses less digits than its factorization.

149347850148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52666 (or 52661 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 149347850148 in words is "one hundred forty-nine billion, three hundred forty-seven million, eight hundred fifty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 127 178 252 254 267 356 381 508 534 623 762 801 889 1068 1143 1246 1524 1602 1778 1869 2286 2492 2667 3204 3556 3738 4572 5334 5607 7476 8001 10668 11214 11303 16002 22428 22606 32004 33909 45212 52433 67818 79121 101727 104866 135636 157299 158242 203454 209732 237363 314598 316484 367031 406908 471897 474726 629196 712089 734062 943794 949452 1101093 1424178 1468124 1887588 2202186 2848356 3303279 4404372 4666537 6606558 6658991 9333074 13213116 13317982 13999611 18666148 19976973 26635964 27999222 32665759 39953946 41998833 46612937 55998444 59930919 65331518 79907892 83997666 93225874 97997277 119861838 130663036 139838811 167995332 186451748 195994554 239723676 279677622 293991831 391989108 419516433 559355244 587983662 592650199 839032866 1175967324 1185300398 1678065732 1777950597 2370600796 3555901194 4148551393 5333851791 7111802388 8297102786 10667703582 12445654179 16594205572 21335407164 24891308358 37336962537 49782616716 74673925074 149347850148