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61406443692 = 2232111973112531
BaseRepresentation
bin111001001100000110…
…111111100010101100
312212111112001112210100
4321030012333202230
52001230022144232
644113145111100
74302465105426
oct711406774254
9185445045710
1061406443692
1124051378020
12ba98a88490
135a37c538a9
142d875a1816
1518e5e6bc7c
hexe4c1bf8ac

61406443692 has 144 divisors (see below), whose sum is σ = 170807180544. Its totient is φ = 18446736000.

The previous prime is 61406443639. The next prime is 61406443727. The reversal of 61406443692 is 29634460416.

61406443692 is a `hidden beast` number, since 6 + 140 + 6 + 443 + 69 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 24260467 + ... + 24262997.

It is an arithmetic number, because the mean of its divisors is an integer number (1186160976).

Almost surely, 261406443692 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 61406443692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85403590272).

61406443692 is an abundant number, since it is smaller than the sum of its proper divisors (109400736852).

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

61406443692 is a wasteful number, since it uses less digits than its factorization.

61406443692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

It can be divided in two parts, 614064 and 43692, that added together give a palindrome (657756).

The spelling of 61406443692 in words is "sixty-one billion, four hundred six million, four hundred forty-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 197 198 311 394 396 591 622 788 933 1182 1244 1773 1866 2167 2364 2531 2799 3421 3546 3732 4334 5062 5598 6501 6842 7092 7593 8668 10124 10263 11196 13002 13684 15186 19503 20526 22779 26004 27841 30372 30789 39006 41052 45558 55682 61267 61578 78012 83523 91116 111364 122534 123156 167046 183801 245068 250569 334092 367602 498607 501138 551403 673937 735204 787141 997214 1002276 1102806 1347874 1495821 1574282 1994428 2021811 2205612 2361423 2695748 2991642 3148564 4043622 4487463 4722846 5484677 5983284 6065433 7084269 8087244 8658551 8974926 9445692 10969354 12130866 14168538 16454031 17317102 17949852 21938708 24261732 25975653 28337076 32908062 34634204 49362093 51951306 65816124 77926959 98724186 103902612 155066777 155853918 197448372 310133554 311707836 465200331 620267108 930400662 1395600993 1705734547 1860801324 2791201986 3411469094 5117203641 5582403972 6822938188 10234407282 15351610923 20468814564 30703221846 61406443692