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423607010000 = 245445792693
BaseRepresentation
bin1100010101000001111…
…00100000001011010000
31111111101220022201202112
412022200330200023100
523420021343310000
6522334040204452
742414243114026
oct6124074401320
91444356281675
10423607010000
11153718128419
126a121169728
1330c3b3aba05
1416707540716
15b04415d235
hex62a0f202d0

423607010000 has 100 divisors (see below), whose sum is σ = 1027850210772. Its totient is φ = 169070208000.

The previous prime is 423607009997. The next prime is 423607010009. The reversal of 423607010000 is 10706324.

It can be written as a sum of positive squares in 10 ways, for example, as 335236368016 + 88370641984 = 578996^2 + 297272^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×4236070100002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423607010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4523654 + ... + 4616346.

Almost surely, 2423607010000 is an apocalyptic number.

423607010000 is a gapful number since it is divisible by the number (40) 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 423607010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513925105386).

423607010000 is an abundant number, since it is smaller than the sum of its proper divisors (604243200772).

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

423607010000 is an equidigital number, since it uses as much as digits as its factorization.

423607010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93178 (or 93157 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

Adding to 423607010000 its reverse (10706324), we get a palindrome (423617716324).

The spelling of 423607010000 in words is "four hundred twenty-three billion, six hundred seven million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 457 500 625 914 1000 1250 1828 2000 2285 2500 3656 4570 5000 7312 9140 10000 11425 18280 22850 36560 45700 57125 91400 92693 114250 182800 185386 228500 285625 370772 457000 463465 571250 741544 914000 926930 1142500 1483088 1853860 2285000 2317325 3707720 4570000 4634650 7415440 9269300 11586625 18538600 23173250 37077200 42360701 46346500 57933125 84721402 92693000 115866250 169442804 185386000 211803505 231732500 338885608 423607010 463465000 677771216 847214020 926930000 1059017525 1694428040 2118035050 3388856080 4236070100 5295087625 8472140200 10590175250 16944280400 21180350500 26475438125 42360701000 52950876250 84721402000 105901752500 211803505000 423607010000