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61888604114764 = 2273832272394157
BaseRepresentation
bin11100001001001100100000…
…10000111000111101001100
322010010111022020020002000001
432010212100100320331030
531102440330123133024
6335343122055014044
716015206206146000
oct1604462020707514
9263114266202001
1061888604114764
11187a089a654619
126b3651436a324
13286c0bb67806b
14113d5d2882700
15724ce8157244
hex384990438f4c

61888604114764 has 96 divisors (see below), whose sum is σ = 128388159244800. Its totient is φ = 26088677407296.

The previous prime is 61888604114693. The next prime is 61888604114789. The reversal of 61888604114764 is 46741140688816.

It is a junction number, because it is equal to n+sod(n) for n = 61888604114696 and 61888604114705.

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 31 ways as a sum of consecutive naturals, for example, 24652774 + ... + 27046930.

It is an arithmetic number, because the mean of its divisors is an integer number (1337376658800).

Almost surely, 261888604114764 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 61888604114764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64194079622400).

61888604114764 is an abundant number, since it is smaller than the sum of its proper divisors (66499555130036).

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

61888604114764 is a wasteful number, since it uses less digits than its factorization.

61888604114764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394492 (or 2394476 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 64.

The spelling of 61888604114764 in words is "sixty-one trillion, eight hundred eighty-eight billion, six hundred four million, one hundred fourteen thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 83 98 166 196 227 332 343 454 581 686 908 1162 1372 1589 2324 3178 4067 6356 8134 11123 16268 18841 22246 28469 37682 44492 56938 75364 77861 113876 131887 155722 263774 311444 527548 923209 1846418 2394157 3692836 4788314 6462463 9576628 12924926 16759099 25849852 33518198 67036396 117313693 198715031 234627386 397430062 469254772 543473639 794860124 821195851 1086947278 1391005217 1642391702 2173894556 2782010434 3284783404 3804315473 5564020868 7608630946 9737036519 15217261892 19474073038 26630208311 38948146076 45108312037 53260416622 68159255633 90216624074 106520833244 136318511266 180433248148 186411458177 272637022532 315758184259 372822916354 631516368518 745645832708 1263032737036 2210307289813 4420614579626 8841229159252 15472151028691 30944302057382 61888604114764