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61267070046 = 237131937159617
BaseRepresentation
bin111001000011110011…
…010100110001011110
312212010210210122002110
4321003303110301132
52000433332220141
644051245534450
74266153334320
oct710363246136
9185123718073
1061267070046
1123a8a733596
12ba5a274426
135a15105690
142d72c81610
1518d8adae16
hexe43cd4c5e

61267070046 has 128 divisors (see below), whose sum is σ = 163040209920. Its totient is φ = 14894088192.

The previous prime is 61267069991. The next prime is 61267070089. The reversal of 61267070046 is 64007076216.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61267069986 and 61267070013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304030 + ... + 463646.

It is an arithmetic number, because the mean of its divisors is an integer number (1273751640).

Almost surely, 261267070046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61267070046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81520104960).

61267070046 is an abundant number, since it is smaller than the sum of its proper divisors (101773139874).

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

61267070046 is a wasteful number, since it uses less digits than its factorization.

61267070046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159698.

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 61267070046 in words is "sixty-one billion, two hundred sixty-seven million, seventy thousand, forty-six".

Divisors: 1 2 3 6 7 13 14 19 21 26 37 38 39 42 57 74 78 91 111 114 133 182 222 247 259 266 273 399 481 494 518 546 703 741 777 798 962 1406 1443 1482 1554 1729 2109 2886 3367 3458 4218 4921 5187 6734 9139 9842 10101 10374 14763 18278 20202 27417 29526 54834 63973 127946 159617 191919 319234 383838 478851 957702 1117319 2075021 2234638 3032723 3351957 4150042 5905829 6065446 6225063 6703914 9098169 11811658 12450126 14525147 17717487 18196338 21229061 29050294 35434974 39425399 41340803 42458122 43575441 63687183 76775777 78850798 82681606 87150882 112210751 118276197 124022409 127374366 153551554 224421502 230327331 236552394 248044818 275977793 336632253 460654662 537430439 551955586 673264506 785475257 827933379 1074860878 1458739763 1570950514 1612291317 1655866758 2356425771 2917479526 3224582634 4376219289 4712851542 8752438578 10211178341 20422356682 30633535023 61267070046