Search a number
-
+
38247432394656 = 2531090013655111
BaseRepresentation
bin10001011001001001011001…
…00111110001011110100000
312000102102022022210011002110
420230210230213301132200
520003121220143112111
6213202343342115320
711025200013145362
oct1054445447613640
9160372268704073
1038247432394656
1111206710529651
12435873787bb40
131845943182294
1496328542cd32
15464d844265a6
hex22c92c9f17a0

38247432394656 has 48 divisors (see below), whose sum is σ = 100400458592448. Its totient is φ = 12749023680000.

The previous prime is 38247432394637. The next prime is 38247432394679. The reversal of 38247432394656 is 65649323474283.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8636541 + ... + 12291651.

It is an arithmetic number, because the mean of its divisors is an integer number (2091676220676).

Almost surely, 238247432394656 is an apocalyptic number.

It is an amenable number.

38247432394656 is an abundant number, since it is smaller than the sum of its proper divisors (62153026197792).

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

38247432394656 is a wasteful number, since it uses less digits than its factorization.

38247432394656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764125 (or 3764117 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 66.

The spelling of 38247432394656 in words is "thirty-eight trillion, two hundred forty-seven billion, four hundred thirty-two million, three hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109001 218002 327003 436004 654006 872008 1308012 1744016 2616024 3488032 3655111 5232048 7310222 10464096 10965333 14620444 21930666 29240888 43861332 58481776 87722664 116963552 175445328 350890656 398410754111 796821508222 1195232262333 1593643016444 2390464524666 3187286032888 4780929049332 6374572065776 9561858098664 12749144131552 19123716197328 38247432394656