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93024057430404 = 2232809219872
BaseRepresentation
bin10101001001101011011001…
…111001100001000110000100
3110012101000100111122122022100
4111021223121321201012010
544143101232200233104
6525502354555232100
725410523601515062
oct2511533171410604
9405330314578270
1093024057430404
1127705310318421
12a524828748630
133cba1919a4149
1418d8561ac5032
15ab4b81158139
hex549ad9e61184

93024057430404 has 81 divisors (see below), whose sum is σ = 235553712092517. Its totient is φ = 30954104163648.

The previous prime is 93024057430391. The next prime is 93024057430427. The reversal of 93024057430404 is 40403475042039.

The square root of 93024057430404 is 9644898.

It is a perfect power (a square), and thus also a powerful number.

93024057430404 is a `hidden beast` number, since 9 + 3 + 0 + 2 + 4 + 0 + 574 + 30 + 40 + 4 = 666.

93024057430404 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 81880745244804 + 11143312185600 = 9048798^2 + 3338160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 93024057430404.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46816333899 + ... + 46816335885.

Almost surely, 293024057430404 is an apocalyptic number.

93024057430404 is the 9644898-th square number.

It is an amenable number.

93024057430404 is an abundant number, since it is smaller than the sum of its proper divisors (142529654662113).

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

93024057430404 is an frugal number, since it uses more digits than its factorization.

93024057430404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 93024057430404 in words is "ninety-three trillion, twenty-four billion, fifty-seven million, four hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 809 1618 1987 2427 3236 3974 4854 5961 7281 7948 9708 11922 14562 17883 23844 29124 35766 71532 654481 1308962 1607483 1963443 2617924 3214966 3926886 3948169 4822449 5890329 6429932 7853772 7896338 9644898 11780658 11844507 14467347 15792676 19289796 23561316 23689014 28934694 35533521 47378028 57869388 71067042 142134084 1300453747 2600907494 3194068721 3901361241 5201814988 6388137442 7802722482 9582206163 11704083723 12776274884 15605444964 19164412326 23408167446 28746618489 38328824652 46816334892 57493236978 114986473956 2584001595289 5168003190578 7752004785867 10336006381156 15504009571734 23256014357601 31008019143468 46512028715202 93024057430404