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998495628481 = 1319711271512969
BaseRepresentation
bin11101000011110101111…
…10100010110011000001
310112110021212200102201101
432201322332202303001
5112324404340102411
62042411430334401
7132065436543151
oct16417276426301
93473255612641
10998495628481
1135550682a34a
121416221ba401
1373208705890
1436482726761
151ae8e6568c1
hexe87afa2cc1

998495628481 has 64 divisors (see below), whose sum is σ = 1164931891200. Its totient is φ = 848159424000.

The previous prime is 998495628463. The next prime is 998495628497. The reversal of 998495628481 is 184826594899.

It is a 3-Lehmer number, since φ(998495628481) divides (998495628481-1)3.

It is a cyclic number.

It is not a de Polignac number, because 998495628481 - 213 = 998495620289 is a prime.

It is a super-2 number, since 2×9984956284812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (998495620481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336305565 + ... + 336308533.

It is an arithmetic number, because the mean of its divisors is an integer number (18202060800).

It is a Poulet number, since it divides 2998495628480-1.

Almost surely, 2998495628481 is an apocalyptic number.

It is an amenable number.

998495628481 is a deficient number, since it is larger than the sum of its proper divisors (166436262719).

998495628481 is a wasteful number, since it uses less digits than its factorization.

998495628481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350.

The product of its digits is 358318080, while the sum is 73.

The spelling of 998495628481 in words is "nine hundred ninety-eight billion, four hundred ninety-five million, six hundred twenty-eight thousand, four hundred eighty-one".

Divisors: 1 13 19 71 127 151 247 923 1349 1651 1963 2413 2869 2969 9017 10721 17537 19177 31369 37297 38597 56411 117221 139373 171323 203699 210799 249301 364363 377063 448319 733343 1361567 2227199 2648087 2740387 4005181 4736719 4901819 5828147 7164197 8518061 17700371 25869773 26771473 31830649 52067353 56936513 93134561 110734793 336307049 348029149 413798437 508657987 604782331 740174669 1081793747 4042492423 6612553831 7862170303 14063318711 52552401499 76807356037 998495628481