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61119206973 = 321121719473697
BaseRepresentation
bin111000111010111111…
…010001011000111101
312211202111120102002100
4320322333101120331
52000133004110343
644024444415313
74262406454536
oct707277213075
9184674512070
1061119206973
1123a14220900
12ba18847539
1359c05a4336
142d5b39168d
1518cab2e9d3
hexe3afd163d

61119206973 has 144 divisors (see below), whose sum is σ = 110485589760. Its totient is φ = 32316641280.

The previous prime is 61119206807. The next prime is 61119206987. The reversal of 61119206973 is 37960291116.

61119206973 is a `hidden beast` number, since 611 + 1 + 9 + 20 + 6 + 9 + 7 + 3 = 666.

It is not a de Polignac number, because 61119206973 - 216 = 61119141437 is a prime.

It is a super-2 number, since 2×611192069732 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61119201973) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16530261 + ... + 16533957.

It is an arithmetic number, because the mean of its divisors is an integer number (767261040).

Almost surely, 261119206973 is an apocalyptic number.

It is an amenable number.

61119206973 is a deficient number, since it is larger than the sum of its proper divisors (49366382787).

61119206973 is a wasteful number, since it uses less digits than its factorization.

61119206973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 61119206973 in words is "sixty-one billion, one hundred nineteen million, two hundred six thousand, nine hundred seventy-three".

Divisors: 1 3 9 11 17 19 33 47 51 57 99 121 141 153 171 187 209 323 363 423 517 561 627 799 893 969 1089 1551 1683 1881 2057 2299 2397 2679 2907 3553 3697 4653 5687 6171 6897 7191 8037 8789 9823 10659 11091 15181 17061 18513 20691 26367 29469 31977 33273 39083 40667 45543 51183 62849 70243 79101 88407 96679 108053 117249 122001 136629 166991 173759 188547 210729 290037 324159 351747 366003 447337 500973 521277 565641 632187 691339 772673 870111 972477 1194131 1342011 1502919 1563831 1836901 1911349 2074017 2318019 2953903 3301421 3582393 4026033 5510703 5734047 6222051 6954057 7604729 8499403 8861709 9904263 10747179 13135441 16532109 17202141 21024839 22814187 25498209 26585127 29712789 32492933 36315631 39406323 56124157 63074517 68442561 76494627 97478799 108946893 118218969 144489851 168372471 189223551 292436397 326840679 357422263 399471941 433469553 505117413 617365727 1072266789 1198415823 1300408659 1852097181 3216800367 3595247469 5556291543 6791022997 20373068991 61119206973