Search a number
-
+
149612296752 = 243619675097
BaseRepresentation
bin1000101101010110010…
…1100111101000110000
3112022011201221011000000
42023111211213220300
54422401221444002
6152421514430000
713544350353042
oct2132545475060
9468151834000
10149612296752
11584a5271a46
1224bb4a32300
1311154154c59
1473540aba92
153d59a4961c
hex22d5967a30

149612296752 has 140 divisors (see below), whose sum is σ = 457486910680. Its totient is φ = 47245918464.

The previous prime is 149612296711. The next prime is 149612296807. The reversal of 149612296752 is 257692216941.

It is a happy number.

149612296752 is a `hidden beast` number, since 1 + 496 + 12 + 2 + 96 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 115933 + ... + 559164.

Almost surely, 2149612296752 is an apocalyptic number.

149612296752 is a gapful number since it is divisible by the number (12) 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 149612296752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228743455340).

149612296752 is an abundant number, since it is smaller than the sum of its proper divisors (307874613928).

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

149612296752 is an equidigital number, since it uses as much as digits as its factorization.

149612296752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675142 (or 675121 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 149612296752 in words is "one hundred forty-nine billion, six hundred twelve million, two hundred ninety-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 729 912 972 1026 1296 1368 1458 1539 1944 2052 2736 2916 3078 3888 4104 4617 5832 6156 8208 9234 11664 12312 13851 18468 24624 27702 36936 55404 73872 110808 221616 675097 1350194 2025291 2700388 4050582 5400776 6075873 8101164 10801552 12151746 12826843 16202328 18227619 24303492 25653686 32404656 36455238 38480529 48606984 51307372 54682857 72910476 76961058 97213968 102614744 109365714 115441587 145820952 153922116 164048571 205229488 218731428 230883174 291641904 307844232 328097142 346324761 437462856 461766348 492145713 615688464 656194284 692649522 874925712 923532696 984291426 1038974283 1312388568 1385299044 1847065392 1968582852 2077948566 2624777136 2770598088 3116922849 3937165704 4155897132 5541196176 6233845698 7874331408 8311794264 9350768547 12467691396 16623588528 18701537094 24935382792 37403074188 49870765584 74806148376 149612296752