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66957971892 = 223737139154991
BaseRepresentation
bin111110010111000000…
…011001000110110100
320101211102020101210220
4332113000121012310
52044112220100032
650432101414340
74560165241020
oct762700310664
9211742211726
1066957971892
1126440036359
1210b8810a3b0
136411139416
1433529cd380
151b1d51912c
hexf970191b4

66957971892 has 96 divisors (see below), whose sum is σ = 184700866560. Its totient is φ = 18479767680.

The previous prime is 66957971869. The next prime is 66957971903. The reversal of 66957971892 is 29817975966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354517 + ... + 509507.

It is an arithmetic number, because the mean of its divisors is an integer number (1923967360).

Almost surely, 266957971892 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 66957971892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92350433280).

66957971892 is an abundant number, since it is smaller than the sum of its proper divisors (117742894668).

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

66957971892 is a wasteful number, since it uses less digits than its factorization.

66957971892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155181 (or 155179 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 69.

The spelling of 66957971892 in words is "sixty-six billion, nine hundred fifty-seven million, nine hundred seventy-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 139 148 222 259 278 417 444 518 556 777 834 973 1036 1554 1668 1946 2919 3108 3892 5143 5838 10286 11676 15429 20572 30858 36001 61716 72002 108003 144004 154991 216006 309982 432012 464973 619964 929946 1084937 1859892 2169874 3254811 4339748 5734667 6509622 11469334 13019244 17204001 21543749 22938668 34408002 40142669 43087498 64631247 68816004 80285338 86174996 120428007 129262494 150806243 160570676 240856014 258524988 301612486 452418729 481712028 603224972 797118713 904837458 1594237426 1809674916 2391356139 3188474852 4782712278 5579830991 9565424556 11159661982 16739492973 22319323964 33478985946 66957971892