Search a number
-
+
149994284264 = 231121757715797
BaseRepresentation
bin1000101110110001011…
…0110010010011101000
3112100011100201010100122
42023230112302103220
54424142014044024
6152523442022412
713556666244206
oct2135426622350
9470140633318
10149994284264
1158680954900
12250a0947a08
13111b532a976
14738cb04076
153d7d350d5e
hex22ec5b24e8

149994284264 has 96 divisors (see below), whose sum is σ = 327902972040. Its totient is φ = 64053411840.

The previous prime is 149994284249. The next prime is 149994284303. The reversal of 149994284264 is 462482499941.

It can be written as a sum of positive squares in 4 ways, for example, as 142537961764 + 7456322500 = 377542^2 + 86350^2 .

It is a junction number, because it is equal to n+sod(n) for n = 149994284197 and 149994284206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9487214 + ... + 9503010.

Almost surely, 2149994284264 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 149994284264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163951486020).

149994284264 is an abundant number, since it is smaller than the sum of its proper divisors (177908687776).

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

149994284264 is a wasteful number, since it uses less digits than its factorization.

149994284264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16419 (or 16404 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 62.

The spelling of 149994284264 in words is "one hundred forty-nine billion, nine hundred ninety-four million, two hundred eighty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 577 748 968 1154 1496 2057 2308 4114 4616 6347 8228 9809 12694 15797 16456 19618 25388 31594 39236 50776 63188 69817 78472 107899 126376 139634 173767 215798 268549 279268 347534 431596 537098 558536 695068 863192 1074196 1186889 1390136 1911437 2148392 2373778 2954039 3822874 4747556 5908078 7645748 9114869 9495112 11816156 15291496 18229738 23632312 32494429 36459476 64988858 72918952 100263559 129977716 154952773 200527118 259955432 309905546 401054236 619811092 802108472 1102899149 1239622184 1704480503 2205798298 3408961006 4411596596 6817922012 8823193192 13635844024 18749285533 37498571066 74997142132 149994284264