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52736631390 = 23355910332141
BaseRepresentation
bin110001000111010110…
…010010001001011110
312001010022021110011000
4301013112102021132
51331001034201030
640121001011130
73544601653632
oct610726221136
9161108243130
1052736631390
11204024a9793
12a279483aa6
134c85a10941
1427a3d7adc2
151589c63860
hexc4759225e

52736631390 has 128 divisors (see below), whose sum is σ = 144407577600. Its totient is φ = 13690097280.

The previous prime is 52736631377. The next prime is 52736631407. The reversal of 52736631390 is 9313663725.

52736631390 is a `hidden beast` number, since 5 + 2 + 7 + 3 + 6 + 631 + 3 + 9 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1624720 + ... + 1656860.

It is an arithmetic number, because the mean of its divisors is an integer number (1128184200).

Almost surely, 252736631390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52736631390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72203788800).

52736631390 is an abundant number, since it is smaller than the sum of its proper divisors (91670946210).

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

52736631390 is a wasteful number, since it uses less digits than its factorization.

52736631390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32319 (or 32313 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 52736631390 in words is "fifty-two billion, seven hundred thirty-six million, six hundred thirty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 103 118 135 177 206 270 295 309 354 515 531 590 618 885 927 1030 1062 1545 1593 1770 1854 2655 2781 3090 3186 4635 5310 5562 6077 7965 9270 12154 13905 15930 18231 27810 30385 32141 36462 54693 60770 64282 91155 96423 109386 160705 164079 182310 192846 273465 289269 321410 328158 482115 546930 578538 820395 867807 964230 1446345 1640790 1735614 1896319 2892690 3310523 3792638 4339035 5688957 6621046 8678070 9481595 9931569 11377914 16552615 17066871 18963190 19863138 28444785 29794707 33105230 34133742 49657845 51200613 56889570 59589414 85334355 89384121 99315690 102401226 148973535 170668710 178768242 195320857 256003065 297947070 390641714 446920605 512006130 585962571 893841210 976604285 1171925142 1757887713 1953208570 2929812855 3515775426 5273663139 5859625710 8789438565 10547326278 17578877130 26368315695 52736631390