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72623353231 = 111319233313511
BaseRepresentation
bin100001110100010110…
…0000110110110001111
320221110020122120222101
41003220230012312033
52142213034300411
653210202255531
75150450213542
oct1035054066617
9227406576871
1072623353231
1128887a981a0
12120a94b75a7
136b04aa6080
14372d1b6859
151d50aa58c1
hex10e8b06d8f

72623353231 has 64 divisors (see below), whose sum is σ = 94024949760. Its totient is φ = 55042416000.

The previous prime is 72623353207. The next prime is 72623353273. The reversal of 72623353231 is 13235332627.

It is not a de Polignac number, because 72623353231 - 25 = 72623353199 is a prime.

It is a super-2 number, since 2×726233532312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72623353291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20682766 + ... + 20686276.

It is an arithmetic number, because the mean of its divisors is an integer number (1469139840).

Almost surely, 272623353231 is an apocalyptic number.

72623353231 is a deficient number, since it is larger than the sum of its proper divisors (21401596529).

72623353231 is a wasteful number, since it uses less digits than its factorization.

72623353231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908.

The product of its digits is 136080, while the sum is 37.

Adding to 72623353231 its reverse (13235332627), we get a palindrome (85858685858).

The spelling of 72623353231 in words is "seventy-two billion, six hundred twenty-three million, three hundred fifty-three thousand, two hundred thirty-one".

Divisors: 1 11 13 19 23 143 209 247 253 299 331 437 2717 3289 3511 3641 4303 4807 5681 6289 7613 38621 45643 47333 62491 66709 69179 80753 81757 83743 98969 144647 502073 733799 867217 888283 899327 1049789 1088659 1162141 1534307 1591117 1880411 9539387 11547679 12783551 15107833 16877377 19945991 20684521 22080679 26729243 166186163 219405901 242887469 287048827 294021673 347480159 507855617 3157537097 3822281749 5586411787 6602123021 72623353231