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61897502100 = 22352776938329
BaseRepresentation
bin111001101001011000…
…001110110110010100
312220202202001220021210
4321221120032312110
52003231230031400
644234010141420
74320610041540
oct715130166624
9186682056253
1061897502100
1124283587515
12bbb5421870
135ab58c7ab5
142dd28aaa20
15192411a950
hexe6960ed94

61897502100 has 144 divisors (see below), whose sum is σ = 204945910400. Its totient is φ = 14129233920.

The previous prime is 61897502087. The next prime is 61897502119. The reversal of 61897502100 is 120579816.

61897502100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1595736 + ... + 1634064.

Almost surely, 261897502100 is an apocalyptic number.

61897502100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61897502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102472955200).

61897502100 is an abundant number, since it is smaller than the sum of its proper divisors (143048408300).

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

61897502100 is a wasteful number, since it uses less digits than its factorization.

61897502100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39122 (or 39115 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 61897502100 in words is "sixty-one billion, eight hundred ninety-seven million, five hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 769 1050 1538 2100 2307 3076 3845 4614 5383 7690 9228 10766 11535 15380 16149 19225 21532 23070 26915 32298 38329 38450 46140 53830 57675 64596 76658 76900 80745 107660 114987 115350 134575 153316 161490 191645 229974 230700 268303 269150 322980 383290 403725 459948 536606 538300 574935 766580 804909 807450 958225 1073212 1149870 1341515 1609818 1614900 1916450 2299740 2683030 2874675 3219636 3832900 4024545 5366060 5749350 6707575 8049090 11498700 13415150 16098180 20122725 26830300 29475001 40245450 58950002 80490900 88425003 117900004 147375005 176850006 206325007 294750010 353700012 412650014 442125015 589500020 618975021 736875025 825300028 884250030 1031625035 1237950042 1473750050 1768500060 2063250070 2210625075 2475900084 2947500100 3094875105 4126500140 4421250150 5158125175 6189750210 8842500300 10316250350 12379500420 15474375525 20632500700 30948751050 61897502100