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31055603076 = 223223212772
BaseRepresentation
bin11100111011000011…
…101110010110000100
32222011022121002120100
4130323003232112010
51002100213244301
622133341204100
72146405161561
oct347303562604
988138532510
1031055603076
1112197095273
126028560630
132c0bc9cac4
14170870b868
15c1b640286
hex73b0ee584

31055603076 has 81 divisors (see below), whose sum is σ = 82127488261. Its totient is φ = 9894032544.

The previous prime is 31055603063. The next prime is 31055603081. The reversal of 31055603076 is 67030655013.

It is a happy number.

The square root of 31055603076 is 176226.

It is a perfect power (a square), and thus also a powerful number.

31055603076 is a `hidden beast` number, since 3 + 1 + 0 + 556 + 0 + 30 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20400408900 + 10655194176 = 142830^2 + 103224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31055603076.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24318550 + ... + 24319826.

Almost surely, 231055603076 is an apocalyptic number.

31055603076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31055603076 is the 176226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31055603076

31055603076 is an abundant number, since it is smaller than the sum of its proper divisors (51071885185).

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

31055603076 is a wasteful number, since it uses less digits than its factorization.

31055603076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

Multiplying 31055603076 by its sum of digits (36), we get a square (1118001710736 = 10573562).

31055603076 divided by its sum of digits (36) gives a square (862655641 = 293712).

The spelling of 31055603076 in words is "thirty-one billion, fifty-five million, six hundred three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1277 1587 2116 2554 3174 3831 4761 5108 6348 7662 9522 11493 15324 19044 22986 29371 45972 58742 88113 117484 176226 264339 352452 528678 675533 1057356 1351066 1630729 2026599 2702132 3261458 4053198 4892187 6079797 6522916 8106396 9784374 12159594 14676561 19568748 24319188 29353122 37506767 58706244 75013534 112520301 150027068 225040602 337560903 450081204 675121806 862655641 1350243612 1725311282 2587966923 3450622564 5175933846 7763900769 10351867692 15527801538 31055603076