Search a number
-
+
99952986001 = 11316112014001
BaseRepresentation
bin101110100010110101…
…0011000011110010001
3100112222220011210011111
41131011222120132101
53114200431023001
6113530123213321
710135633235311
oct1350552303621
9315886153144
1099952986001
1139431944860
1217456077241
13956bb5b4cb
144ba2b03441
15290004e851
hex1745a98791

99952986001 has 32 divisors (see below), whose sum is σ = 114526098432. Its totient is φ = 86400000000.

The previous prime is 99952985971. The next prime is 99952986037. The reversal of 99952986001 is 10068925999.

It is a 4-Lehmer number, since φ(99952986001) divides (99952986001-1)4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-99952986001 is a prime.

It is a super-2 number, since 2×999529860012 (a number of 23 digits) contains 22 as substring.

It is a deceptive number, since it divides R99952986000.

It is not an unprimeable number, because it can be changed into a prime (99952986901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24980001 + ... + 24984001.

It is an arithmetic number, because the mean of its divisors is an integer number (3578940576).

It is a Poulet number, since it divides 299952986000-1.

Almost surely, 299952986001 is an apocalyptic number.

It is an amenable number.

99952986001 is a deficient number, since it is larger than the sum of its proper divisors (14573112431).

99952986001 is a wasteful number, since it uses less digits than its factorization.

99952986001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305.

The product of its (nonzero) digits is 3149280, while the sum is 58.

The spelling of 99952986001 in words is "ninety-nine billion, nine hundred fifty-two million, nine hundred eighty-six thousand, one".

Divisors: 1 11 31 61 341 671 1201 1891 4001 13211 20801 37231 44011 73261 124031 244061 409541 805871 1364341 2271091 2684671 4805201 7565891 24982001 52857211 83224801 148961231 293117261 1638573541 3224289871 9086635091 99952986001