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55435966466970 = 23519197493685693
BaseRepresentation
bin11001001101011001100010…
…00101101100101110011010
321021021121220211002120221010
430212230301011230232122
524231230324403420340
6313522533104154350
714451054633126465
oct1446546105545632
9237247824076833
1055435966466970
1116733296948a11
126273a410089b6
1324c178764529b
14d99187b5c2dc
1566203b5b5b80
hex326b3116cb9a

55435966466970 has 64 divisors (see below), whose sum is σ = 140759665073280. Its totient is φ = 13933784971008.

The previous prime is 55435966466939. The next prime is 55435966466983. The reversal of 55435966466970 is 7966466953455.

55435966466970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55435966466892 and 55435966466901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246730557 + ... + 246955136.

It is an arithmetic number, because the mean of its divisors is an integer number (2199369766770).

Almost surely, 255435966466970 is an apocalyptic number.

55435966466970 is an abundant number, since it is smaller than the sum of its proper divisors (85323698606310).

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

55435966466970 is a wasteful number, since it uses less digits than its factorization.

55435966466970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493685919.

The product of its (nonzero) digits is 4408992000, while the sum is 75.

The spelling of 55435966466970 in words is "fifty-five trillion, four hundred thirty-five billion, nine hundred sixty-six million, four hundred sixty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 197 285 394 570 591 985 1182 1970 2955 3743 5910 7486 11229 18715 22458 37430 56145 112290 493685693 987371386 1481057079 2468428465 2962114158 4936856930 7405285395 9380028167 14810570790 18760056334 28140084501 46900140835 56280169002 93800281670 97256081521 140700422505 194512163042 281400845010 291768244563 486280407605 583536489126 972560815210 1458841222815 1847865548899 2917682445630 3695731097798 5543596646697 9239327744495 11087193293394 18478655488990 27717983233485 55435966466970