Search a number
-
+
23648803058133 = 3211237586920881
BaseRepresentation
bin1010110000010001010101…
…00000010111000111010101
310002201210200202011001122200
411120020222200113013111
511044430222040330013
6122144035442515113
74660366246206231
oct530105240270725
9102653622131580
1023648803058133
117598445892200
12279b368365a99
1310270c354a616
145ba872b935c1
152b025dba7e73
hex15822a8171d5

23648803058133 has 36 divisors (see below), whose sum is σ = 38561875789164. Its totient is φ = 13945240108800.

The previous prime is 23648803058107. The next prime is 23648803058197. The reversal of 23648803058133 is 33185030884632.

It is a happy number.

23648803058133 is a `hidden beast` number, since 23 + 6 + 4 + 8 + 8 + 0 + 3 + 0 + 581 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22820808614769 + 827994443364 = 4777113^2 + 909942^2 .

It is not a de Polignac number, because 23648803058133 - 213 = 23648803049941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23648803058133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23648803008133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 293420148 + ... + 293500733.

Almost surely, 223648803058133 is an apocalyptic number.

It is an amenable number.

23648803058133 is a deficient number, since it is larger than the sum of its proper divisors (14913072731031).

23648803058133 is a wasteful number, since it uses less digits than its factorization.

23648803058133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586920946 (or 586920932 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 23648803058133 in words is "twenty-three trillion, six hundred forty-eight billion, eight hundred three million, fifty-eight thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 586920881 1760762643 5282287929 6456129691 19368389073 21716072597 58105167219 65148217791 71017426601 195444653373 213052279803 238876798567 639156839409 716630395701 2149891187103 2627644784237 7882934352711 23648803058133