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54042529896 = 23323182929207
BaseRepresentation
bin110010010101001011…
…111001000001101000
312011111022112222010100
4302111023321001220
51341134341424041
640454330545400
73622136632125
oct622513710150
9164438488110
1054042529896
1120a12665653
12a582898260
135133432654
14288959574c
15161471b6b6
hexc952f9068

54042529896 has 96 divisors (see below), whose sum is σ = 151274073600. Its totient is φ = 17411448960.

The previous prime is 54042529889. The next prime is 54042529921. The reversal of 54042529896 is 69892524045.

54042529896 is a `hidden beast` number, since 5 + 40 + 425 + 2 + 98 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1835725 + ... + 1864931.

It is an arithmetic number, because the mean of its divisors is an integer number (1575771600).

Almost surely, 254042529896 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 54042529896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75637036800).

54042529896 is an abundant number, since it is smaller than the sum of its proper divisors (97231543704).

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

54042529896 is a wasteful number, since it uses less digits than its factorization.

54042529896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30079 (or 30072 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 54042529896 in words is "fifty-four billion, forty-two million, five hundred twenty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 829 1116 1658 2232 2487 3316 4974 6632 7461 9948 14922 19896 25699 29207 29844 51398 58414 59688 77097 87621 102796 116828 154194 175242 205592 231291 233656 262863 308388 350484 462582 525726 616776 700968 905417 925164 1051452 1810834 1850328 2102904 2716251 3621668 5432502 7243336 8148753 10865004 16297506 21730008 24212603 32595012 48425206 65190024 72637809 96850412 145275618 193700824 217913427 290551236 435826854 581102472 750590693 871653708 1501181386 1743307416 2251772079 3002362772 4503544158 6004725544 6755316237 9007088316 13510632474 18014176632 27021264948 54042529896