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13173578048 = 2629103137503
BaseRepresentation
bin11000100010011010…
…01101100101000000
31021000002102002210002
430101031031211000
5203434413444143
610015111255132
7644311365041
oct142115154500
937002362702
1013173578048
115650161194
12267797a4a8
13131c3377c7
148cd8308c8
155217dc5b8
hex31134d940

13173578048 has 112 divisors (see below), whose sum is σ = 27559284480. Its totient is φ = 6239514624.

The previous prime is 13173578017. The next prime is 13173578057. The reversal of 13173578048 is 84087537131.

It is a junction number, because it is equal to n+sod(n) for n = 13173577993 and 13173578011.

It is a congruent number.

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, 26189765 + ... + 26190267.

It is an arithmetic number, because the mean of its divisors is an integer number (246065040).

Almost surely, 213173578048 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 13173578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13779642240).

13173578048 is an abundant number, since it is smaller than the sum of its proper divisors (14385706432).

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

13173578048 is a wasteful number, since it uses less digits than its factorization.

13173578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 13173578048 in words is "thirteen billion, one hundred seventy-three million, five hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 103 116 137 206 232 274 412 464 503 548 824 928 1006 1096 1648 1856 2012 2192 2987 3296 3973 4024 4384 5974 6592 7946 8048 8768 11948 14111 14587 15892 16096 23896 28222 29174 31784 32192 47792 51809 56444 58348 63568 68911 95584 103618 112888 116696 127136 137822 191168 207236 225776 233392 254272 275644 409219 414472 451552 466784 551288 818438 828944 903104 933568 1102576 1502461 1636876 1657888 1998419 2205152 3004922 3273752 3315776 3996838 4410304 6009844 6547504 7097833 7993676 12019688 13095008 14195666 15987352 24039376 26190016 28391332 31974704 48078752 56782664 63949408 96157504 113565328 127898816 205837157 227130656 411674314 454261312 823348628 1646697256 3293394512 6586789024 13173578048