Search a number
-
+
105150001504 = 2583179221171
BaseRepresentation
bin110000111101101101…
…1011011000101100000
3101001102002021112012011
41201323123123011200
53210321400022004
6120145533242304
710411500160102
oct1417333330540
9331362245164
10105150001504
1140659486499
1218466633394
139bb976ab02
14513700b572
152b06421004
hex187b6db160

105150001504 has 48 divisors (see below), whose sum is σ = 210679600320. Its totient is φ = 51651157120.

The previous prime is 105150001493. The next prime is 105150001511. The reversal of 105150001504 is 405100051501.

It is a happy number.

It is a super-2 number, since 2×1051500015042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 364839 + ... + 586009.

It is an arithmetic number, because the mean of its divisors is an integer number (4389158340).

Almost surely, 2105150001504 is an apocalyptic number.

It is an amenable number.

105150001504 is an abundant number, since it is smaller than the sum of its proper divisors (105529598816).

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

105150001504 is a wasteful number, since it uses less digits than its factorization.

105150001504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221443 (or 221435 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The spelling of 105150001504 in words is "one hundred five billion, one hundred fifty million, one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 83 166 179 332 358 664 716 1328 1432 2656 2864 5728 14857 29714 59428 118856 221171 237712 442342 475424 884684 1769368 3538736 7077472 18357193 36714386 39589609 73428772 79179218 146857544 158358436 293715088 316716872 587430176 633433744 1266867488 3285937547 6571875094 13143750188 26287500376 52575000752 105150001504