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61328440572 = 223724310722669
BaseRepresentation
bin111001000111011101…
…011011110011111100
312212022002021120121220
4321013131123303330
52001100040044242
644101321153340
74300530100200
oct710735336374
9185262246556
1061328440572
1124011340133
12ba7692b850
135a24a423b9
142d7b098b00
1518de1aebec
hexe4775bcfc

61328440572 has 144 divisors (see below), whose sum is σ = 171933632640. Its totient is φ = 16954213248.

The previous prime is 61328440567. The next prime is 61328440609. The reversal of 61328440572 is 27504482316.

It is a super-2 number, since 2×613284405722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2694054 + ... + 2716722.

It is an arithmetic number, because the mean of its divisors is an integer number (1193983560).

Almost surely, 261328440572 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 61328440572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85966816320).

61328440572 is an abundant number, since it is smaller than the sum of its proper divisors (110605192068).

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

61328440572 is a wasteful number, since it uses less digits than its factorization.

61328440572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22840 (or 22831 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 61328440572 in words is "sixty-one billion, three hundred twenty-eight million, four hundred forty thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 107 129 147 172 196 214 258 294 301 321 428 516 588 602 642 749 903 1204 1284 1498 1806 2107 2247 2996 3612 4214 4494 4601 5243 6321 8428 8988 9202 10486 12642 13803 15729 18404 20972 22669 25284 27606 31458 32207 45338 55212 62916 64414 68007 90676 96621 128828 136014 158683 193242 225449 272028 317366 386484 450898 476049 634732 676347 901796 952098 974767 1110781 1352694 1904196 1949534 2221562 2425583 2705388 2924301 3332343 3899068 4443124 4851166 5848602 6664686 6823369 7276749 9702332 11697204 13329372 13646738 14553498 16979081 20470107 27293476 29106996 33958162 40940214 47763583 50937243 67916324 81880428 95527166 101874486 104300069 118853567 143290749 191054332 203748972 208600138 237707134 286581498 312900207 356560701 417200276 475414268 573162996 625800414 713121402 730100483 1251600828 1426242804 1460200966 2190301449 2920401932 4380602898 5110703381 8761205796 10221406762 15332110143 20442813524 30664220286 61328440572