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10672405060 = 2253761236429
BaseRepresentation
bin10011111000001111…
…11111101001000100
31000112210000100110111
421330013333221010
5133324113430220
64523002402404
7525320642362
oct117407775104
930483010414
1010672405060
114587326979
12209a200404
1310110b74a5
14733596632
15426e2e15a
hex27c1ffa44

10672405060 has 48 divisors (see below), whose sum is σ = 23395221360. Its totient is φ = 4085475840.

The previous prime is 10672405031. The next prime is 10672405067. The reversal of 10672405060 is 6050427601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 595457604 + 10076947456 = 24402^2 + 100384^2 .

It is a super-2 number, since 2×106724050602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10672405067) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73075 + ... + 163354.

It is an arithmetic number, because the mean of its divisors is an integer number (487400445).

Almost surely, 210672405060 is an apocalyptic number.

10672405060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10672405060 is an abundant number, since it is smaller than the sum of its proper divisors (12722816300).

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

10672405060 is a wasteful number, since it uses less digits than its factorization.

10672405060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236536 (or 236534 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 10672405060 in words is "ten billion, six hundred seventy-two million, four hundred five thousand, sixty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1220 2257 4514 9028 11285 22570 45140 236429 472858 945716 1182145 2364290 4728580 8747873 14422169 17495746 28844338 34991492 43739365 57688676 72110845 87478730 144221690 174957460 288443380 533620253 1067240506 2134481012 2668101265 5336202530 10672405060