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61071483132 = 2232111395931871
BaseRepresentation
bin111000111000001001…
…001110000011111100
312211122011202210021200
4320320021032003330
52000033244430012
644020021455500
74261260020142
oct707011160374
9184564683250
1061071483132
112399a295210
12ba04871590
1359b3734c8a
142d54ccb592
1518c68543dc
hexe3824e0fc

61071483132 has 144 divisors (see below), whose sum is σ = 169997667840. Its totient is φ = 18332582400.

The previous prime is 61071483073. The next prime is 61071483149. The reversal of 61071483132 is 23138417016.

It is a happy number.

61071483132 is a `hidden beast` number, since 610 + 7 + 1 + 4 + 8 + 3 + 1 + 32 = 666.

It is a super-3 number, since 3×610714831323 (a number of 33 digits) contains 333 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 32640157 + ... + 32642027.

It is an arithmetic number, because the mean of its divisors is an integer number (1180539360).

Almost surely, 261071483132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61071483132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84998833920).

61071483132 is an abundant number, since it is smaller than the sum of its proper divisors (108926184708).

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

61071483132 is a wasteful number, since it uses less digits than its factorization.

61071483132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 61071483132 in words is "sixty-one billion, seventy-one million, four hundred eighty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 139 198 278 396 417 556 593 834 1186 1251 1529 1668 1779 1871 2372 2502 3058 3558 3742 4587 5004 5337 5613 6116 6523 7116 7484 9174 10674 11226 13046 13761 16839 18348 19569 20581 21348 22452 26092 27522 33678 39138 41162 55044 58707 61743 67356 78276 82324 82427 117414 123486 164854 185229 234828 246972 247281 260069 329708 370458 494562 520138 740916 741843 780207 906697 989124 1040276 1109503 1483686 1560414 1813394 2219006 2340621 2720091 2860759 2967372 3120828 3328509 3626788 4438012 4681242 5440182 5721518 6657018 8160273 8582277 9362484 9985527 10880364 11443036 12204533 13314036 16320546 17164554 19971054 24409066 25746831 32641092 34329108 36613599 39942108 48818132 51493662 73227198 102987324 109840797 146454396 154220917 219681594 308441834 439363188 462662751 616883668 925325502 1387988253 1696430087 1850651004 2775976506 3392860174 5089290261 5551953012 6785720348 10178580522 15267870783 20357161044 30535741566 61071483132