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61607723814 = 232721312794201
BaseRepresentation
bin111001011000000110…
…110100001100100110
312220000112210122012200
4321120012310030212
52002133034130224
644145135155330
74310461004100
oct713006641446
9186015718180
1061607723814
1124144a5482a
12bb34375b46
135a6a868760
142da61d8570
15190897a5c9
hexe581b4326

61607723814 has 144 divisors (see below), whose sum is σ = 167391544320. Its totient is φ = 16231622400.

The previous prime is 61607723803. The next prime is 61607723833. The reversal of 61607723814 is 41832770616.

61607723814 is a `hidden beast` number, since 6 + 1 + 607 + 7 + 2 + 38 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61607723814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14662914 + ... + 14667114.

It is an arithmetic number, because the mean of its divisors is an integer number (1162441280).

Almost surely, 261607723814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61607723814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83695772160).

61607723814 is an abundant number, since it is smaller than the sum of its proper divisors (105783820506).

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

61607723814 is a wasteful number, since it uses less digits than its factorization.

61607723814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 61607723814 in words is "sixty-one billion, six hundred seven million, seven hundred twenty-three thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1279 1638 1911 2558 3822 3837 4201 5733 7674 8402 8953 11466 11511 12603 16627 17906 23022 25206 26859 29407 33254 37809 49881 53718 54613 58814 62671 75618 80577 88221 99762 109226 116389 125342 149643 161154 163839 176442 188013 205849 232778 264663 299286 327678 349167 376026 382291 411698 491517 529326 564039 617547 698334 764582 814723 983034 1047501 1128078 1146873 1235094 1629446 1852641 2095002 2293746 2444169 2676037 3440619 3705282 4888338 5352074 5373079 6881238 7332507 8028111 10746158 14665014 16056222 16119237 24084333 32238474 37611553 48168666 48357711 69850027 75223106 96715422 112834659 139700054 209550081 225669318 263280871 338503977 419100162 488950189 526561742 628650243 677007954 789842613 977900378 1257300486 1466850567 1579685226 2369527839 2933701134 3422651323 4400551701 4739055678 6845302646 8801103402 10267953969 20535907938 30803861907 61607723814