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63923245998552 = 23338318671909777
BaseRepresentation
bin11101000100011010010100…
…10111101110000111011000
322101100000001220212221211000
432202031022113232013120
531334304301433423202
6343541533411505000
716315205424620553
oct1642151227560730
9271300056787730
1063923245998552
1119405772988426
1272049058b8160
132988c22b97905
1411adc8a05b69a
1575cbcc52691c
hex3a234a5ee1d8

63923245998552 has 128 divisors (see below), whose sum is σ = 179800251321600. Its totient is φ = 21039742462464.

The previous prime is 63923245998529. The next prime is 63923245998569. The reversal of 63923245998552 is 25589954232936.

It is a happy number.

63923245998552 is a `hidden beast` number, since 6 + 3 + 9 + 2 + 3 + 24 + 599 + 8 + 5 + 5 + 2 = 666.

63923245998552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 32516688 + ... + 34426464.

It is an arithmetic number, because the mean of its divisors is an integer number (1404689463450).

Almost surely, 263923245998552 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 63923245998552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89900125660800).

63923245998552 is an abundant number, since it is smaller than the sum of its proper divisors (115877005323048).

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

63923245998552 is a wasteful number, since it uses less digits than its factorization.

63923245998552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911742 (or 1911732 counting only the distinct ones).

The product of its digits is 1259712000, while the sum is 72.

The spelling of 63923245998552 in words is "sixty-three trillion, nine hundred twenty-three billion, two hundred forty-five million, nine hundred ninety-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 664 747 996 1494 1867 1992 2241 2988 3734 4482 5601 5976 7468 8964 11202 14936 16803 17928 22404 33606 44808 50409 67212 100818 134424 154961 201636 309922 403272 464883 619844 929766 1239688 1394649 1859532 1909777 2789298 3719064 3819554 4183947 5578596 5729331 7639108 8367894 11157192 11458662 15278216 16735788 17187993 22917324 33471576 34375986 45834648 51563979 68751972 103127958 137503944 158511491 206255916 317022982 412511832 475534473 634045964 951068946 1268091928 1426603419 1902137892 2853206838 3565553659 3804275784 4279810257 5706413676 7131107318 8559620514 10696660977 11412827352 14262214636 17119241028 21393321954 28524429272 32089982931 34238482056 42786643908 64179965862 85573287816 96269948793 128359931724 192539897586 256719863448 295940953697 385079795172 591881907394 770159590344 887822861091 1183763814788 1775645722182 2367527629576 2663468583273 3551291444364 5326937166546 7102582888728 7990405749819 10653874333092 15980811499638 21307748666184 31961622999276 63923245998552